Abstract
We investigate the evolution of non-adiabatic collapse of a shear-free spherically symmetric stellar configuration with anisotropic stresses accompanied with radial heat flux. The collapse begins from a curvature singularity with infinite mass and size on an inhomogeneous space–time background. The collapse is found to proceed without formation of an even horizon to singularity when the collapsing configuration radiates all its mass energy. The impact of inhomogeneity on various parameters of the collapsing stellar configuration is examined in some specific space–time backgrounds.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Joshi P.S.: Global Aspects in Gravitation and Cosmology. Clarendon Press, Oxford (1993)
Joshi, P.S., Malafarina, D.: Int. J. Mod. Phys. D 20, 2641; preprint: gr-qc/1201.3660v1; pre-print: 1105.4336v1 (2011)
Oppenheimer J.R., Snyder H.: Phys. Rev. 56, 455 (1939)
Vaidya P.C.: Proc. Indian Acad. Sci. A 33, 264 (1951)
Santos N.O.: Mon. Not. R. Astron. Soc. 216, 403 (1985)
Bonnor W.B., de Oliveira A.K.G., Santos N.O.: Phys. Rep. 181, 269 (1989)
de Oliveira A.K.G., Santos N.O.: Mon. Not. R. Astron. Soc. 216, 1001 (1988)
de Oliveira A.K.G., Kolassis C.A., Santos N.O.: Mon. Not. R. Astron. Soc. 231, 1011 (1988)
de Oliveira A.K.G., Santos N.O.: Astrophys. J. 312, 640 (1987)
Tikekar R., Patel L.K.: Pramana J. Phys. 39, 17 (1992)
Martinez J.: Phys. Rev. D 53, 6921 (1996)
Maharaj S.D., Govender M.: Pramana J. Phys. 54, 715 (2000)
Herrera L., Barreto W.: Int J. Mod. Phys. D 20, 1265 (2011)
Herrera L., Santos N.O.: Phys. Rep. 286, 53 (1997)
Herrera L., Barreto W.: Int. J. Mod. Phys. D 20, 1265 (2011)
Herrera L., di Prisco A., Hernández-Pastora J.L., Santos N.O.: Phys. Lett. A 237, 113 (1998)
Herrera L., Martin J., Ospino J.: J. Math. Phys. 43, 4889 (2002)
Herrera L.: Int. J. Mod. Phys. D 20, 1689 (2011)
Herrera L., di Prisco A., di Martin J., Ospino J., Santos N.O., Troconis O.: Phys. Rev. D 69, 084026 (2004)
Pinheiro G., Chan R.: Gen. Relativ. Gravit. 40, 2149 (2008)
Pinheiro G., Chan R.: Gen. Relativ. Gravit. 43, 1451 (2011)
Chan R.: Mon. Not. R. Astro. 316, 588 (2000)
Chan R.: Astron. Astrophys. 368, 325 (2001)
Pinheiro, G., Chan, R.: Preprint: gr-qc 1111.4921v2 (2012)
Barreto W., Rodríguez B., Rosales L., Serrano O.: Gen. Relativ. Gravit. 39, 23 (2007)
Ghezzi C.: Phys. Rev. D 72, 104017 (2005)
di Prisco A., Herrera L., Varela V.: Gen. Relativ. Gravit. 29, 1239 (1997)
di Prisco A., Herrera L., Denmat G.L., MacCallum M.A.H., Santos N.O.: Phys. Rev. D 76, 064017 (2007)
Sharif M., Siddiqe A.: Mod. Phys. Lett. A 25, 2831 (2010)
Sharif M., Siddiqe A.: Gen. Relativ. Gravit. 43, 73 (2011)
Sharif M., Abbas G.: J. Phys. Soc. Jpn. 80, 104002 (2011)
Sharif M., Sundas F.: Gen. Relativ. Gravit. 43, 127 (2011)
Sharif M., Abbas G.: Astrophys. Space Sci. 335, 515 (2011)
Sharif M., Fatima S.: Gen. Relativ. Gravit. 43, 127 (2011)
Waugh B., Lake K.: Phys. Rev. D 38, 1315 (1988)
Joshi P.S., Dwivedi I.H.: Phys. Rev. D 47, 5357 (1993)
Singh T.P., Joshi P.S.: Class. Quantum Grav. 13, 559 (1996)
Goswami, R., Joshi, P.S.: Class. Quantum Grav. 21: 3645 Phys. Rev. D 69, 027502 (2004)
Chakraborty S., Bandyopadhyay T.: Int. J. Mod. Phys. D 17, 1271 (2008)
Eardley D.M., Smarr L.: Phys. Rev. D 19, 2239 (1979)
Mena F.C., Nolan B.C., Tavakol R.: Phys. Rev. D 70, 084030 (2004)
Bekenstein J.D.: Phys. Rev. D 4, 2185 (1971)
Bowers R.L., Liang E.P.T.: Astrophys. J. 188, 657 (1974)
Rosales L., Barreto W., Peralta C., Rodríguez-Muller B.: Phys. Rev. D 82, 084014 (2010)
Thirukkanesh S., Maharaj S.D.: Math. Methods Appl. Sci. 32, 684 (2009)
Govinder K.S., Govender M., Maartens R.: Mon. Not. R. Astron. Soc. 299, 809 (1998)
Maiti S.R.: Phys. Rev. D 25, 2518 (1982)
Banerjee A., Choudhury S., Bhui B.: Phy. Rev. D 40, 670 (1989)
Schäfer D., Goenner H.F.: Gen. Relativ. Gravit. 42, 2119 (2000)
Vaidya P.C., Tikekar R.: J. Astrophys. Astron. 3, 325 (1982)
Tikekar R.: J. Math. Phys. 31, 2454 (1990)
Knutsen H.: Mon. Not. R. Astron. Soc. 232, 163 (1988)
Maharaj S.D., Leach P.G.L.: J. Math. Phys. 37, 430 (1996)
Mukherjee S., Paul B.C., Dadhich N.K.: Class. Quantum Grav. 14, 3475 (1997)
Karmakar S., Mukherjee S., Sharma R., Maharaj S.D.: Pramana J. Phys. 68, 881 (2007)
Banerjee A., Chatterjee S., Dadhich N.: Mod. Phys. Lett. A 35, 2335 (2002)
Israel W., Stewart J.: Ann. Phys. 118, 341 (1979)
Maartens, R.: Class. Quantum Grav. 12, 1455. Pre-print: astro-ph/9609119v1 (1995)
Sarwe S., Tikekar R.: Int. J. Mod. Phys. D 19, 1889 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sharma, R., Tikekar, R. Space–time inhomogeneity, anisotropy and gravitational collapse. Gen Relativ Gravit 44, 2503–2520 (2012). https://doi.org/10.1007/s10714-012-1406-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10714-012-1406-8