Abstract
A new class of exact solutions of Einstein’s equations is proposed for a collapsing radiating spherically symmetric shear-free isotropic fluid undergoing radial heat flow. In remote past the solutions are static perfect fluid which then gradually starts evolving into radiating collapse. The interior solutions are matched with Vaidya exterior metric over the boundary.
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Banergee, A., Chattergee, S., Dadhich, N.: Mod. Phys. Lett. A 35, 2335 (2002)
Bonnor, W.B., de Oliveira, A.K.G., Santos, N.O.: Phys. Rep. 181, 269 (1989)
Debnath, U., Nath, S., Chakraborty, S.: Gen. Relativ. Gravit. 37, 325 (2005)
de Oliveira, A.K.G., Santos, N.O.: Astrophys. J. 312, 640 (1987)
de Oliveira, A.K.G., Santos, N.O., Kolassis, C.A.: Mon. Not. R. Astron. Soc. 216, 1001 (1985)
de Oliveira, A.K.G., Kolassis, C.A., Santos, N.O.: Mon. Not. R. Astron. Soc. 231, 1001 (1988)
Glass, E.N.: J. Math. Phys. 20, 1508 (1979)
Glass, E.N.: Phys. Lett. A 86, 351 (1981)
Herrera, L., Santos, N.O.: Phys. Rev. D 70, 084004 (2004)
Herrera, L., Jimenez, J., Ruggeri, G.L.: Phys. Rev. D 22, 2305 (1980)
Herrera, L., Di Prisco, A., Hernandez-Pastora, J., Santos, N.O.: Phys. Lett. A 237, 113 (1998)
Herrera, L., LeDenmat, G., Santos, N.O., Wang, A.: Int. J. Mod. Phys. D 13, 583 (2004a)
Herrera, L., Di Prisco, A., Martin, J., Ospino, J., Santos, N.O., Troconis, O.: Phys. Rev. D, Part. Fields 69, 084026 (2004b)
Herrera, L., Di Prisco, A., Ospino, J.: Phys. Rev. D, Part. Fields 74, 044001 (2006)
Herrera, L., Di Prisco, A., Carot, J.: Phys. Rev. D, Part. Fields 76, 044012 (2007)
Herrera, L., Ospino, J., Di Prisco, A., Fuenmayor, E., Troconis, O.: Phys. Rev. D, Part. Fields 79, 064025 (2009)
Kramer, D.: J. Math. Phys. 33, 1458 (1992)
Lindquist, R.W., Schwartz, R.A., Misner, C.W.: Phys. Rev. B 137, 1364 (1965)
Maharaj, S.D., Govender, M.: Aust. J. Phys. 50, 959 (1997)
Maharaj, S.D., Govender, M.: Int. J. Mod. Phys. D 14, 667 (2005)
Misner, C.W.: Phys. Rev. B 137, 1350 (1965)
Misner, C.W., Sharp, D.H.: Phys. Rev. B 136, 571 (1964)
Misner, C.W., Sharp, D.H.: Phys. Lett. 56, 455 (1965)
Mitra, A.: Phys. Rev. D 74, 024010 (2006)
Naidu, N.F., Govender, M.: J. Astrophys. Astron. 28, 167 (2007)
Oppenheimer, J., Snyder, H.: Phys. Rev. 56, 455 (1939)
Pant, D.N., Tewari, B.C.: Astrophys. Space Sci. 136, 273 (1990)
Pant, N., Tewari, B.C.: Astrophys. Space Sci. 331, 645 (2011)
Santos, N.O.: Mon. Not. R. Astron. Soc. 216, 403 (1985)
Schwarzschild, M.: Structure and Evolution of Stars. Dover, New York (1958)
Tewari, B.C.: Astrophys. Space Sci. 149, 233 (1988)
Tewari, B.C.: Indian J. Pure Appl. Phys. 32, 504 (1994)
Tewari, B.C.: Astrophys. Space Sci. 306, 273 (2006)
Tewari, B.C.: Radiating Fluid Balls in General Relativity. VDM Verlag, Saarbrücken (2010)
Vaidya, P.C.: Proc. Indian Acad. Sci., Sect. A, Phys. Sci. 33, 254 (1951a)
Vaidya, P.C.: Phys. Rev. 83, 10 (1951b)
Vaidya, P.C.: Astrophys. J. 144, 343 (1966)
Vaidya, P.C.: Nature 171, 260 (1953)
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The author would like to thank the referee for pointing out the errors in the original manuscript and making constructive suggestions.
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Tewari, B.C. Relativistic collapsing radiating stars. Astrophys Space Sci 342, 73–77 (2012). https://doi.org/10.1007/s10509-012-1141-3
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DOI: https://doi.org/10.1007/s10509-012-1141-3