Abstract
Most of the matter accreting onto a compact object, or emanating from its vicinity, can be satisfactorily modeled as a fluid. These fluids are different from terrestrial versions. The temperature can range from relativistic values to non-relativistic ones and at high temperature, the fluid is composed of charges and not neutral particles as is the case in the terrestrial version.
We use relativistic equation of state to describe trans-relativistic fluid, around compact objects and at regions far from it. For steady state investigation we took the help of generalized Bernoulli parameter which acts as a constant of motion. We also exploited the fact that the global solution should be of higher entropy and correct boundary conditions. This approach is considered for dissipative accretion flow in curved geometry around black holes, magnetosphere around neutron stars or white dwarfs, and also for magnetically driven outflows. We show that the flow geometry close to a black hole is quite different from a neutron star because of the strong magnetic field around the latter, which has implication on the radiative processes dominant nearby. We also obtained shock solutions for lepton dominated accretion flow around neutron stars, but not around black holes, this is again due to the different flow geometry around the two different types of compact objects. Magnetically driven flows in the special relativistic domain, are able to produce flows which connect both the Alfven and fast sonic points. Numerical simulation of the fluid with relativistic equation of state, shows distinct differences depending on the composition of the flow.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chandrasekhar, S.: An Introduction to the Study of Stellar Structure. Dover, New York (1938)
Chattopadhyay, I.: MNRAS 356, 145 (2005)
Chattopadhyay, I.: In: Chakrabarti, S.K., Majumdar, A.S. (eds.) AIP Conference Series, vol. 1053, pp. 353–356. Proceedings of 2nd Kolkata Conference on Observational Evidence of Back Holes in the Universe and the Satellite Meeting on Black Holes Neutron Stars and Gamma-Ray Bursts. American Institute of Physics, New York (2008)
Chattopadhyay, I.: In: Chattopadhyay, I., Nandi, I., Das, S., Mandal, S. (eds.) Proceedings of Recent Trends in the Study of Compact Objects (RETCO-II): Theory and Observation. Astronomical Society of India Conference Series, vol. 12, pp. 131–132 (2015)
Chattopadhyay, I., Chakrabarti, S.K.: IJMPD 9, 57 (2000)
Chattopadhyay, I., Chakrabarti, S.K.: IJMPD 9, 717 (2000)
Chattopadhyay, I., Chakrabarti, S.K.: BASI 30, 313 (2002)
Chattopadhyay, I., Chakrabarti, S.K.: MNRAS 333, 454 (2002)
Chattopadhyay, I., Chakrabarti, S.K.: Int. Journ. Mod. Phys. D 20, 1597–1615 (2011)
Chattopadhyay, I., Das, S.: New A. 12, 454–460 (2007)
Chattopadhyay, I., Kumar, R.: MNRAS 459, 3792–3811 (2016)
Chattopadhyay, I., Ryu, D.: ApJ 694, 492 (2009)
Chattopadhyay, I., Das, S., Chakrabarti, S.K.: MNRAS 348, 486 (2004)
Chattopadhyay, I., Ryu, D., Jang, H.: In: Khare, P., Ishwara-Chandra, C.H. (eds.) In: Proceedings 31st ASI Meeting, BASI. Astronomical Society of India Conference Series, vol. 9, pp. 13–16 (2013)
Cox J.P., Giuli, R.T.: Principles of Stellar Structure, vol. 2. Gordon and Breach Science Publishers, New York (1968)
Das, S., Chattopadhyay, I.: New A. 13, 549–556 (2008)
Das, S., Chattopadhyay, I., Nandi, A., Molteni, D.: MNRAS 442, 251–258 (2014)
Falle, S.A.E.G., Komissarov, S.S.: MNRAS 278, 586–602 (1996)
Fukue, J.: PASJ 39, 309 (1987)
Gammie, C.F., Popham, R.: ApJ, 498, 313–326 (1998)
Kumar, R., Chattopadhyay, I.: MNRAS 430, 386–402 (2013)
Kumar, R., Chattopadhyay, I.: MNRAS 443, 3444–3462 (2014)
Kumar, R., Chattopadhyay, I.: MNRAS 469, 4221–4235 (2017)
Kumar, R., Singh, C.B., Chattopadhyay, I., Chakrabarti, S.K.: MNRAS 436, 2864–2873 (2013)
Kumar, R., Chattopadhyay, I., Mandal, S.: MNRAS 437, 2992–3003 (2014)
Lee, S.-J., Chattopadhyay, I., Kumar, R., Hyung, S., Ryu, D.: ApJ 831, 33 (2016)
Ryu, D., Chattopadhyay, I., Choi, E.: ApJS 166, 410–420 (2006)
Singh, K., Chattopadhyay, I.: JoAA 39, 10 (2018)
Singh, K., Chattopadhyay, I.: MNRAS, 476, 4123–4138 (2018)
Spitzer, L.: Physics of Fully Ionized Gas. Wiley, New York (1956)
Synge, J.L.: Relativisitc Gas. North Holland, Amsterdam (1957)
Taub, A.H.: Phys. Rev. 74, 328 (1948)
Vlahakis, N., Konigl, A.: ApJ 596, 1080 (2003)
Vyas, K.M., Chattopadhyay, I.: MNRAS 469, 3270–3285 (2017)
Vyas, K.M., Chattopadhyay, I.: A&A (2018, in press). https://doi.org/10.1051/0004-6361/201731830
Vyas, K.M., Kumar, R., Mandal, S., Chattopadhyay, I.: MNRAS 453, 2992–3014 (2015)
Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984)
Zensus, J.A., Cohen, M.H., Unwin, S.C.: ApJ 443, 35 (1995)
Acknowledgements
The author acknowledges Mr. Mukesh K. Vyas, Mr. Kuldeep Singh and Ms. Shilpa Sarkar for their help in preparing the plots.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Chattopadhyay, I. (2018). Relativistic Flows in Astrophysics. In: Mukhopadhyay, B., Sasmal, S. (eds) Exploring the Universe: From Near Space to Extra-Galactic. Astrophysics and Space Science Proceedings, vol 53. Springer, Cham. https://doi.org/10.1007/978-3-319-94607-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-94607-8_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-94606-1
Online ISBN: 978-3-319-94607-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)