Abstract
The study of particle creation phenomena at the expense of the gravitational field is of great research interest. It might solve the cosmological puzzle singlehandedly, without the need for either dark energy or modified theory of gravity. In the early universe, it serves the purpose of reheating which gave way to escape from inflationary phase to the hot Big Bang model. In the late universe, it instigates late-time cosmic acceleration, without affecting standard Big Bang Nucleosynthesis (BBN), Cosmic Microwave Background Radiation (CMBR), or Structure Formation. In this chapter, we briefly review the present status of cosmic evolution, develop the thermodynamics for irreversible particle creation phenomena, and study its consequences at the early as well as at the late universe.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abramo LRW, Finelli F (2003) Cosmological dynamics of the tachyon with an inverse power-law potential. Phys Lett B 575:165
Achterberg A, Hurley K et al (2008) The Search for Muon Neutrinos from Northern Hemisphere Gamma-Ray Bursts with AMANDA, The IceCube collaboration, and The IPN collaboration. Astrophys J 674:357
Aguirregabiria JM, Lazkoz R (2004) Tracking solutions in tachyon cosmology. Phys Rev D 69:123502
Agullo I, Parker L (2011) Non-Gaussianities and the stimulated creation of quanta in the inflationary universe. Phys Rev D 83:063526
Alam U, Sahni V (2002) Supernova constraints on braneworld dark energy. astro-ph/0209443
Albrecht A, Steinhardt PJ (1982) Cosmology for grand unified theories with radiatively induced symmetry breaking. Phys Rev Lett 48:1220
ANTARES Collaboration (2012) Measurement of atmospheric neutrino oscillations with the ANTARES neutrino telescope. Phys Lett B 714:224
Armend´ariz-Pic´on C, Damour T, Mukhanov V (1999) k-Inflation. Phys Lett B 458:209
Armend´ariz-Pic´on C, Mukhanov V, Steinhardt PJ (2000) Dynamical solution to the problem of a small cosmological constant and late-time cosmic acceleration. Phys Rev Lett 85:4438
Armend´ariz-Pic´on C, Mukhanov V, Steinhardt PJ (2001) Essentials of k-essence. Phys Rev D 63:103510
Bagla JS, Jassal HK, Padmanabhan T (2003) Cosmology with tachyon field as dark energy. Phys Rev D 67:063504
Bahamonde S, Odintsov SD, Oikonomouand VK, Wright M (2016) Correspondence of F(R) gravity singularities in Jordan and Einstein frames. Annals Phys 373:96
Banerjee N, Majumder B (2016) A question mark on the equivalence of Einstein and Jordan frames. Phys Lett B 754:129
Banerjee A, Santos NO (1983) Anisotropic cosmological model with viscous fluid. J Math Phys 24(11):2689
Banerjee A, Santos NO (1984) Spatially homogeneous cosmological models. Gen Rel Grav 16:217
Banerjee A, Sanyal AK (1986) Homogeneous anisotropic cosmologiacl models with viscous fluid and magnetic field. Gen Rel Grav 18:1251
Banerjee A, Sanyal AK (1988) Irrotational Bianchi Type-V Viscous Fluid Cosmology with Heat Flux. Gen Rel Grav 20:103
Banerjee A, Duttachoudhury SB, Sanyal AK (1985) Bianchi Type I cosmological Model with a Viscous Fluid. J Math Phys 26:3010
Banerjee A, Duttachoudhury SB, Sanyal AK (1986) Bianchi type-II cosmological model with viscous fluid. Gen Rel Grav 18:461
Bardeen JM (1980) Gauge-invariant cosmological perturbations. Phys Rev D 22:1882
Barrow JD (1990) Graduated inflationary universes. Phys Lett B 235:40
Barrow JD (1995) Slow-roll inflation in scalar-tensor theories. Phys Rev D 51:2729
Barrow JD, Saich P (1990) The behaviour of intermediate inflationary universes. Phys Lett B 249:406
Bassett BA, Tsujikawa S, Wands D (2006) Inflation dynamics and reheating. Rev Mod Phys 78:537
Belinskii VA, Khalatnikov IM (1975) Influence of viscosity on the character of cosmological evolution. Sov Phys JETP 42(2):205
Bento MC, Bertolami O, Sen AA (2002) Generalized chaplygin gas, accelerated expansion and dark energy matter unification. Phys Rev D 66:043507
Bergmann PG (1968) Comments on scalar tensor theory. Int J Theor Phys 1:25
Bertotti B, Less L, Tortora P (2003) A test of general relativity with radio links with the Cassini spacecraft. Nature 425:374
Bhadra A, Sarkar K, Datta DP, Nandi KK (2007) Brans–Dicke theory: Jordan versus Einstein frame. Mod Phys Lett A 22:367
Bilic N, Tupper GB, Viollier RD (2002) Dark matter, dark energy and the chaplygin gas. astro-ph/0207423
Birrell ND, Davies PCW (1982) Quantum fields in curved space. Cambridge University Press, Cambridge
Brans C, Dicke RH (1961) Mach’s principle and a relativistic theory of gravitation. Phys Rev 124:925
Brax P, Bruck C, Davis AC, Khoury J, Weltman A (2004) Detecting dark energy in orbit: the cosmological chameleon. Phys Rev D 70:123518
Brax P, Bruck C, Mota DF, Nunes NJ, Winther HA (2010) Chameleons with field dependent couplings. Phys Rev D 82:083503
Briscese F, Elizalde E, Nojiri S, Odintsov SD (2007) Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity. Phys Lett B 646:105
Brooker DJ, Odintsov SD, Woodard RP (2016) Precision predictions for the primordial power spectra from f (R) models of inflation. Nucl Phys B 911:318
Cadarni N, Fabri R (1978) Production of entropy and viscous damping of anisotropy in homogeneous cosmological models - Bianchi type-I spaces. IL, Nuovo Cimento 44B:228
Caldwell RR (2002) A phantom menace? Cosmological consequences of a dark energy component with super-negative equation of state. Phys Lett B 545:23
Caldwell RR, Dave R, Steinhardt PJ (1998) Cosmological imprint of an energy component with general equation of state. Phys Rev Lett 80:1582
Caldwell RR, Kamionkowski M, Weinberg NN (2003) Phantom energy and cosmic doomsday. Phys Rev Lett 91:071301
Calvao MO, Lima JAS, Waga I (1992) On the thermodynamics of matter creation in cosmology. Phys Lett A 162:223
Capozziello S, De Laurentis M (2011) Extended theories of gravity. Phys Rep 509:167
Capozziello S, Nojiri S, Odintsov SD, Troisi A (2006) Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase. Phys Lett B 639:135
Capozziello S, Martin-Moruno P, Rubano C (2010) Physical non-equivalence of the Jordan and Einstein frames. Phys Lett B 689:117
Carroll SM, Sawicki I, Silvestri A, Trodden M (2006) Modified-source gravity and cosmological structure formation. New J Phys 8:323
Chiba T, Okabe T, Yamaguchi M (2000) Kinetically driven quintessence. Phys Rev D 62:023511
Choudhury TR, Padmanabhan T (2005) Cosmological parameters from supernova observations: a critical comparison of three data sets. Astron Astrophys 429:807
Copeland EJ, Garousi MR, Sami M, Tsujikawa S (2005) What is needed of a tachyon if it is to be the dark energy? Phys Rev D 71:043003
Debnath S, Sanyal AK (2011) Can particle creation phenomena replace dark energy? Class Quan Grav 28:145015
Dick R (1998) Inequivalence of Jordan and Einstein frame: what is the low energy gravity In. string theory? Gen Rel Grav 30:435
Dicke RH (1962a) Mach’s principle and invariance under transformation of units. Phys Rev 125:2163
Dicke RH (1962b) Implications for cosmology of stellar and galactic evolution rates. Rev Mod Phys 34:110
Dodelson S (2003) Modern Cosmology. Academic Press, San Francisco
Dvali G, Turner MS (2003) Dark Energy as a modification of the Friedmann equation. astro-ph/0301510
Dvali G, Gabadadze G, Porrati M (2000) 4D gravity on a brane in 5D Minkowski space. Phys Lett B 485:208
Elizalde E, Nojiri S, Odintsov SD (2004) Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up. Phys Rev D 70:043539
Ellis GFR (1971) Relativistic Cosmology, Rendicontidella Scuola Internazionale de Fisica “Enrico Fermi” XL VII, Corso
Faraoni V, Gunzig E (1999) Einstein frame or Jordan frame? Int J Theor Phys 38:217
Faraoni V, Gunzig E, Nardone P (1999) Conformal transformations in classical gravitational theories and in cosmology. Fund Cosmic Phys 20:121
Flanagan EE (2004) Palatini form of 1/R gravity. Phys Rev Lett 92:071101
Freedman WL et al (2001) Final results from the hubble space telescope key project to measure the hubble constant. Astrophys J 553:47
Friedmann A (1922) On the curvature of space. Z Phys 10:377
Friedmann A (1924) On the possibility of a world with constant negative curvature of space. Z Phys 21:326
Frieman J, Hill C, Stebbins A, Waga I (1995) Cosmology with ultra-light pseudo-nambu-goldstone bosons. Phys Rev Lett 75:2077
Garriga J, Mukhanov V (1999) Perturbations in k-inflation. Phys Lett B 458:219
Gasperini M, Veneziano G (1993) Inflation deflation and frame-independence in string cosmology. Mod Phys Lett A 8:3701
Gasperini M, Veneziano G (1994) Dilaton production in string cosmology. Phys Rev D 50:2519
Gibbons GW (2002) Cosmological evolution of the rolling tachyon. Phys Lett B 537:1
Gubser SS, Khoury J (2004) Scalar self-interactions loosen constraints from fifth force searches. Phys Rev D 70:104001
Gunzig E, Geheniau J, Prigogine I (1987) Entropy and Cosmology. Nature 330:621
Guo ZK, Zhang YZ (2004) Cosmological scaling solutions of multiple tachyon fields with inverse square potentials. JCAP 0408:010
Guth AH (1981) Inflationary universe: a possible solution to the horizon and flatness problems. Phys Rev D 23:347
Haouat S, Chekireb R (2011) On the creation of scalar particles in a flat Robertson-Walker spacetime. Mod Phys Lett A 26:2639
Haouat S, Chekireb R (2012) Effect of electromagnetic fields on the creation of scalar particles in a flat Robertson–Walker space-time. EPJC 72:2034
Hawking SW (1974) Black hole explosions? Nature 248:30
Hawking SW (1975) Particle creation by black holes. Comm Math Phys 43:199
Hawking SW, Ellis GFR (1973) The large-scale structure of space-time. Cambridge University Press
Heller M, Suszycki L (1974) Dust-filled viscous universes. Acta Phys Pol B 5:345
Heller M, Limek ZK, Suszycki L (1973) Imperfect fluid Friedmannian cosmology. Astrophys Space Sci 20:205
Hubble EP (1929) A relation between distance and radial velocity among extra-galactic nebulae. Proc Natl Acad Sci 15:168
Islam JN (2002) An introduction to mathematical cosmology. Cambridge University Press
Ito Y, Nojiri S (2009) Gauss-Bonnet chameleon mechanism of dark energy. Phys Rev D 79:103008
Jackiw R (2000) A particle field theorist’s lectures on supersymmetric, non-abelian fluid mechanics and d-branes. arXiv: physics/0010042
Kamenshchik AY, Moschella U, Pasquier V (2001) An alternative to quintessence. Phys Lett B 511:265
Kearns E, Kajita T, Totsuka Y (1999) Detecting massive neutrinos. Scientific American
Khoury J, Weltman A (2004) Chameleon cosmology. Phys Rev D 69:044026
Komatsu E et al (2011) Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation. Astrophys J Suppl Series 192:18
La D, Steinhardt PJ (1989) Extended inflationary cosmology. Phys Rev Lett 62:376
Landau LD, Lifshitz EM (1959) Fluid mechanics pergamon press
Lemaître G (1927) Ann Sci Soc Brussels (in French) 47A:41
Lemaître G (1931) Translated in English. Monthly Not Royal Astrono Soc 91:483
Lima JAS, Germano ASM, Abramo LRW (1996) FRW-type cosmologies with adiabatic matter creation. Phys Rev D 53:4287
Lima JAS, Silva FE, Santos RC (2008) Accelerating cold dark matter cosmology (ΩΛ≡ 0). Class Quan Grav 25:205006
Linde AD (1982) A new inflationary universe scenario a possible solution of the horizon, flatness homogeneity, isotropy and primordial monopole problems. Phys Lett B 108:389
Linde AD (1983) Chaotic Inflation. Phys Lett B 129:177
Magnano G, Sokolowski LM (1994) On physical equivalence between nonlinear gravity. Theories and a general relativistic self gravitating scalar field. Phys Rev D 50:50395059
Mathiazhagan C, Johri VB (1984) An inflationary universe in Brans-Dicke theory: a hopeful sign of theoretical estimation of the gravitational constant. Class Quant Grav 1:L29
Misner CW (1984) Neutrino viscosity and the isotropy of primordial blackbody radiation (1967) Phys Rev lett 19:533
Mukhanov VF, Winitzki S (2007) Introduction to quantum fields in gravity. Cambridge: Cambridge University Press
Mukhanov VF, Feldman HA, Brandenberger RH (1992) Theory of cosmological perturbations. Phys Rep 215:203
Murphy GL (1973) Big-bang model without singularities. Phys Rev D 8(12):4231
Narlikar JV (1983) Introduction to cosmology. Cambridge University Press
NESTOR collaboration (1994) NESTOR: a neutrino particle astrophysics underwater laboratory for the Mediterranean Author links open overlay panel. Nucl Phys B 35:294
Nightingale JD (1973) Independent investigations concerning bulk viscosity in relativistic homogeneous isotropic cosmologies. Astrphys J 185:105
Nojiri S, Odintsov SD (2006) Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe. Phys Rev D 74:086005
Nojiri S, Odintsov SD (2011) Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models. Phys Rep 505:59
Nosengo N (2012) Gran Sasso: Chamber of physics. Nature 485:435
Padmanabhan T (2002) Accelerated expansion of the universe driven by tachyonic matter. Phys Rev D 66:021301
Papastamatiou J, Parker L (1979) Asymmetric creation of matter and antimatter in the expanding universe. Phys Rev D 19:2283
Parker L (1968) Particle creation in expanding universes. Phys Rev Lett 21:562
Parker L (1969) Quantized fields and particle creation in expanding universes. I. Phys Rev 183:1057
Parker L (1971) Quantized fields and particle creation in expanding universes. II. Phys Rev D 3:346
Peebles PJE (1980) The large scale structure of the universe. Princeton University Press
Peebles PJE (1993) Principles of physical cosmology. Princeton University Press
Peebles PJE, Ratra B (1988) Cosmology with a time-variable cosmological ‘constant’. Ap J Lett 325:L17
Penzias AA, Wilson RW (1965) A measurement of excess antenna temperature at 4080 Mc/s. Astrophys J 142:419
Perlmutter S et al (1999) Measurements of omega and lambda from 42 high-redshift supernovae. Astrophys J 517:565
Planck collaboration (2014) Planck 2013 results-I. Overview of products and scientific results.Astron Astrophys 571:A1
Planck collaboration P. A. R. Ade (2016) Planck 2015 results-XIII. Cosmological parameters. Astron Astrophys 594:A20
Prigogine I (1989) Thermodynamics and cosmology. Int J Theor Phys 28:927
Prigogine I, Geheniau J, Gunzig E, Nardone P (1989) Thermodynamics and cosmology. Gen Rel Grav 21:767
Ratra B, Peebles PJE (1988) Cosmological consequences of a rolling homogeneous scalar field. Phys Rev D 37:3406
Reiss AG et al (2011) A 3% Solution: determination of the hubble constant with the hubble space telescope and wide field camera 3. Astrophys J 730:119
Ribeiro MB, Sanyal AK (1987) Bianchi VI0 viscous fluid cosmology with magnetic field. J Math Phys 28:657
Riess AG et al (1998) Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron J 116:1009
Sachs RK, Wolfe AM (1967) Perturbations of a cosmological model and angular variations of the microwave background. Astrophys J 147:73
Sahni V, Shtanov Y (2003) Braneworld models of dark energy. JCAP 0311:014
Sanyal AK (2007) If Gauss-Bonnet interaction plays the role of dark energy. Phys Lett B 645:1
Sanyal AK (2008) Intermediate inflation or late time acceleration? Adv High Energy Phys 2008:630414
Sanyal AK (2009a) Smooth crossing of ωΛ = −1 line in a single scalar field model. Adv High Energy Phys 2009:612063
Sanyal AK (2009b) Transient crossing of phantom divide line ωΛ = −1 under Gauss-Bonnet interaction. Gen Rel Grav 41:1511
Sen A (2002a) Rolling Tachyon. JHEP 0204:048
Sen A (2002b) Tachyon Matter. JHEP 0207:065
Sk N, Sanyal AK (2017) Why scalar-tensor equivalent theories are not physically equivalent? IJMPD 26:1750162
Soussa ME, Woodard RP (2004) The force of gravity from a lagrangian containing inverse powers of the ricci scalar. Gen Rel Grav 36:855
Spergel DN et al (2007) Wilkinson Microwave Anisotropy Probe (WMAP) Three year results: implications for cosmology. Astrophys J suppl 170:377
Spindel P (1981) Mass formula in a cosmogenesis model. Phys Lett 107:361
Starobinsky AA (1980) A new type of isotropic cosmological models without singularity. Phys Lett B 91:99
Steigman G, Santos RC, Lima JAS (2009) An accelerating cosmology without dark energy. J Cosmol Astropart Phys JCAP06:33
Steinhardt PJ, Accetta FS (1990) Hyperextended inflation. Phys Rev Lett 64:2740
Treciokas R, Ellis GFR (1971) Isotropic solutions of the Einstein-Boltzmann equations. Comm Math Phys 23:1
Tsujikawa S, Tamaki T, Tavakol R (2009) Chameleon scalar fields in relativistic gravitational backgrounds. JCAP 0905:020
Vollick DN (2003) 1/R curvature corrections as the source of the cosmological acceleration. Phys Rev D 68:063510
Vollick DN (2004) On the viability of the Palatini form of 1/R gravity. Class Quant Grav 21:3813
Wagner RV (1970) Scalar-tensor theory and gravitational waves. Phys Rev D 1:3209
Weinberg S (1971) Entropy generation and the survival of protogalaxies in an expanding universe. Astrophys J 168:175
Weinberg S (1972) Gravitation and cosmology. Wiley, New York
Zimdahl W, Pavón D (1993) Cosmology with adiabatic matter creation. Phys Lett A 176:57
Zimdahl W, Triginer J, Pavón D (1996) Collisional equilibrium, particle production, and the inflationary universe. Phys Rev D 54:6101
Zlatev I, Wang LM, Steinhardt PJ (1999) Quintessence, cosmic coincidence, and the cosmological constant. Phys Rev Lett 82:896
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Sanyal, A.K., Debnath, S. (2018). Thermodynamics of Irreversible Particle Creation Phenomena and Its Cosmological Consequence. In: Driss, Z., Necib, B., Zhang, HC. (eds) Thermo-Mechanics Applications and Engineering Technology. Springer, Cham. https://doi.org/10.1007/978-3-319-70957-4_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-70957-4_8
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-70956-7
Online ISBN: 978-3-319-70957-4
eBook Packages: EnergyEnergy (R0)