Abstract
The FRW-type cosmologies with time varying cosmological term is discussed within the frame work of a thermodynamic context. If at some cosmological time, the cosmological term begins increasing again, as presently observed, expansion will accelerate and matter and/or radiation will be transformed back into dark energy. It is shown that such accelerated expansion is a route towards a new kind of gravitational singular state, characterized by an empty, conformally transitive spacetime in which all energy is dark. We investigate whether dynamic dark energy cosmologies are compatible with the second law of thermodynamics. We examine also the total entropy evolution with time. We observed that the dynamic dark energy cosmology is less restricted with second law of thermodynamics. Some physical implications of these solutions are briefly discussed.
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Riess, A.G., et al.: Astron. J. 116, 1009 (1998)
Perlmutter, S., et al.: Astrophys. J. 517, 565 (1999)
Bennett, C.L., et al.: Astrophys. J. Suppl. Ser. 148, 1 (2003)
Tegmark, M., et al. (SDSS Collaboration): Phys. Rev. D 69, 103501 (2004)
Spergel, D.N., et al.: Astrophys. J. Suppl. Ser. 148, 175 (2003)
Page, L., et al.: Astrophys. J. Suppl. Ser. 148, 233 (2003)
Peebles, P.J., Ratra, B.: Rev. Mod. Phys. 75, 559 (2003)
Steinhardt, P.J.: Critical Problems in Physics. Princeton University Press, Princeton (1997)
Sola, J., Stefancic, H.: Mod. Phys. Lett. A 21, 479 (2006)
Ratra, B., Peebles, P.J.E.: Phys. Rev. D 37, 3406 (1988)
Liddle, A.R., Scherrer, R.J.: Phys. Rev. D 59, 023509 (1999)
Cadwell, R.R.: Phys. Lett. B 545, 23 (2002)
Cadwell, R.R., Kamionkowski, M., Weinberg, N.N.: Phys. Rev. Lett. 91, 071301 (2003)
Nojri, S., Elizalde, E., Odintsov, S.D.: Phys. Rev. D 70, 043539 (2004)
Saridakis, E.N.: Nucl. Phys. B 819, 116 (2009)
Setare, M.R., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 0903, 002 (2009)
Feng, B., Wang, X.L., Zhang, X.M.: Phys. Lett. B 607, 35 (2005)
Feng, B., Li, M., Piao, Y.S., Zhang, X.: Phys. Lett. B 634, 101 (2006)
Li, M.: Phys. Lett. B 603, 1 (2004)
Ito, M.: Europhys. Lett. 71, 712 (2005)
Pavon, D., Zimdhal, W.: Phys. Lett. B 628, 206 (2005)
Boyle, L., Cadwell, R.R., Kamionkowski, M.: Phys. Lett. B 545, 17 (2002)
Starobinsky, A.A.: Gravit. Cosmol. 6, 157 (2000)
Elizalde, P., Quiroga, J.: Mod. Phys. Lett. A 19, 29 (2004)
Gonzalez-Diaz, P.F.: Phys. Lett. B 586, 1 (2004)
Setare, M.R.: J. Cosmol. Astropart. Phys. 0701, 023 (2007)
Setare, M.R.: Phys. Lett. B 642, 421 (2006)
Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)
Jacobson, T.: Phys. Rev. Lett. 75, 1260–1263 (1995)
Padmanabhan, T.: Class. Quantum Gravity 19, 5387–5408 (2002)
Padmanabhan, T.: Phys. Rep. 406, 49 (2005)
Frolov, A.V., Kofman, L.: J. Cosmol. Astropart. Phys. 05, 009 (2003)
Danielsson, U.H.: Phys. Rev. D 71, 023516 (2005)
Bousso, R.: Phys. Rev. D 71, 064024 (2005)
Akbar, M., Cai, R.G.: Phys. Rev. D 75, 084003 (2007)
Cai, R.G., Cao, L.M.: Phys. Rev. D 75, 064008 (2007)
Cao, L.M., Cai, R.G.: Nucl. Phys. B 785, 135 (2007)
Akbar, M., Cai, R.G.: Phys. Lett. B 635, 7 (2006)
Fischler, W., Susskind, L.: Holography and cosmology (1998). hep-th/9806039
Easther, R., Lowe, D.A.: Phys. Rev. Lett. 82, 4967 (1999)
Brustein, R.: Phys. Rev. Lett. 84, 2072 (2000)
Youm, D.: Phys. Rev. D 66, 043506 (2002)
De Freitas Pacheco, J.A., Horvath, J.E.: Class. Quantum Gravity 24, 5427 (2007)
Vishwakarma, R.G.: Class. Quantum Gravity 18, 1159 (2001)
Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)
Padmanabhan, T.: Phys. Rep. 380, 235 (2003)
Mashhoon, B., Wesson, P.S.: Class. Quantum Gravity 21, 3611 (2004)
Acknowledgement
The Author would like to express his gratitude to Prof. N. Ibotombi Singh, Manipur University for his valuable discussion and constructive comments.
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Singh, S.S. Thermodynamics of Universe with Time Varying Cosmological Term. Int J Theor Phys 53, 1743–1751 (2014). https://doi.org/10.1007/s10773-013-1973-9
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DOI: https://doi.org/10.1007/s10773-013-1973-9