Abstract
This paper is devoted to the thermal evolution of shear-free charged gravitating compact objects which undergoes exhausted its inner heat during gravitational collapse. The evaluation equations have been formulated by applying the perturbation of first order to Einstein–Maxwell equations and Catteno-type heat transportation equation. We show that the temperature gradient (induced in the system owing to external effects), sufficiently depends upon multiple of relaxation time and total time during which the gravitating system oscillates. By taking some particular examples of nuclear matter, it has been noted that at a particular value of luminosity, the change in existing thermal profile is greater corresponding to higher values of times during which a system comes to rest position.
Similar content being viewed by others
References
Abbas, G., Ahmed, R.: Eur. Phys. J. C 77, 441 (2017)
Abbas, G., Tahir, M.: Eur. Phys. J. C 77, 533 (2017)
Abbas, G., Khan, M.S., Ahmad, Z., Zubair, M.: Eur. Phys. J. C 77, 443 (2017)
Arnett, W.D.: Astrophys. J. 218, 815 (1990)
Banerjee, A., Dutta Choudhury, S.B., Bhui, B.K.: Phys. Rev. D 40, 670 (1989)
Bonor, W.B., de Oliveira, A.R.G., Santos, N.O.: Phys. Rep. 181, 269 (1989)
Chan, R.: Mon. Not. R. Astron. Soc. 316, 588 (2000)
Chan, R., Kichenassamy, S., Le Denmat, G., Santos, N.O.: Mon. Not. R. Astron. Soc. 91, 239 (1989)
Chandrasekhar, S.: Mon. Not. R. Astron. Soc. 91, 456 (1931)
Di Prisco, A., Herrera, L., Esculpi, M.: Class. Quantum Gravity 13, 1053 (1996)
Di Prisco, A., Herrera, L., Le Denmat, G., Maccullum, A.H., Santos, N.O.: Phys. Rev. D 76, 064017 (2007)
Glass, E.N.: J. Math. Phys. 20, 1508 (1979)
Govender, K.S., Govender, M., Martens, R.: Mon. Not. R. Astron. Soc. 299, 809 (1998)
Grammenos, T.: Astrophys. Space Sci. 31, 211 (1994)
Hayward, S.A.: Class. Quantum Gravity 17, 1749 (2000)
Herrera, L.: Int. J. Mod. Phys. D 15, 2197 (2006)
Herrera, L., Falcon, N.: Astrophys. Space Sci. 229, 105 (1995)
Herrera, L., Martinez, J.: Gen. Relativ. Gravit. 30, 445 (1998)
Herrera, L., Santos, N.O.: Phys. Rep. 286, 53 (1997a)
Herrera, L., Santos, N.O.: Mon. Not. R. Astron. Soc. 287, 161 (1997b)
Herrera, L., Santos, N.O.: Phys. Rev. D 70, 084004 (2004)
Herrera, L., Santos, N.O., Le Denmat, G.: Mon. Not. R. Astron. Soc. 237, 257 (1989)
Herrera, L., Hermandez Pastora, J.L., Martin, J., Martinez, J.: Class. Quantum Gravity 14, 2239 (1997)
Herrera, L., Di Prisco, A., Rhernandez, J., Santos, N.O.: Phys. Lett. A 237, 113 (1998)
Herrera, L., Di Prisco, A., Barreto, W.: Phys. Rev. D 73, 024008 (2006)
Herrera, L., Di Prisco, A., Ospino, J.: Gen. Relativ. Gravit. 44, 2645 (2012)
Israel, W.: Ann. Phys. 100, 310 (1976)
Israel, W., Stewart, J.M.: Ann. Phys. 118, 341 (1979)
Kazanas, D.: Astrophys. J. 222, 2109 (1978)
Kippenhahn, R.K., Weigert, A.: Stellar Structure and Evaluation. Springer, Berlin (1990)
Krori, K.D., Barua, J.: J. Phys. A, Math. Gen. 8, 508 (1975)
Lake, K., Hellaby, C.: Phys. Rev. D 24, 3019 (1981)
Landau, L., Lifshitz, E.: Fluid Mechanics. Pergamon Press, London (1959)
Lindquist, R.W., Schwartz, R.A., Misner, C.W., Sharp, D.: Phys. Rev. B 137, 1364 (1965)
Mak, M.K., Harko, T.: Int. J. Mod. Phys. D 13, 149 (2004)
Martinez, J.: Phys. Rev. D 53, 531 (1996)
Milne, E.A.: Mon. Not. R. Astron. Soc. 91, 4 (1930)
Misner, C.W., Sharp, D.: Phys. Rev. B 136, 571 (1964)
Misner, C.W., Sharp, D.: Phys. Rev. B 137, 1360 (1965)
Nolan, B.C.: Phys. Rev. D 65, 104006 (2002)
Oppenheimer, J.R., Snyder, H.: Phys. Rev. 56, 455 (1939)
Pavon, D., Jou, D., Cassas-vasquez, J.: Ann. Inst. Henri Poincaré A36, 79 (1982)
Peirls, R.: Quantum Theory of Solids. Oxford University Press, Oxford (1955)
Rahaman, F., Sharma, R., Ray, S., Maulick, R., Karar, I.: Eur. Phys. J. C 72, 2071 (2012)
Raychaudhuri, A.K., De, U.K.: J. Phys. A 3, 263 (1970)
Santos, N.O.: Mon. Not. R. Astron. Soc. 216, 403 (1985)
Shah, S.M., Abbas, G.: Eur. Phys. J. C 77, 251 (2017a)
Shah, S.M., Abbas, G.: Eur. Phys. J. A 53, 228 (2017b)
Sharif, M., Abbas, G.: Astrophys. Space Sci. 335, 515 (2011)
Vaidya, P.C.: Proc. Indian Acad. Sci. 12, 183 (1943)
Vaidya, P.C.: Proc. Indian Acad. Sci. A 33, 264 (1951)
Zwiky, F.: Astrophys. J. 88, 522 (1938)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Shah, S.M., Abbas, G. Thermal evaluation of shear-free charged compact object. Astrophys Space Sci 363, 176 (2018). https://doi.org/10.1007/s10509-018-3401-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10509-018-3401-3