Abstract
This paper is devoted to study the effects of electromagnetic field on the energy density inhomogeneity in the relativistic self-gravitating fluids for spherically symmetric spacetime. Two important equations of the Weyl tensor are formulated which help to analyze the energy density inhomogeneity in this scenario. We investigate two types of fluids, i.e., non-dissipative and dissipative. The non-dissipative fluid further includes dust, locally isotropic, and locally anisotropic charged fluids. We explore the effects of different factors on energy density inhomogeneity in all these cases, in particular, the effect of charge.
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References
Penrose R., Hawking S.W., Isreal W.: General Relativity, An Einstein Centenary Survey. Cambridge University Press, Cambridge (1979)
Joshi P.S., Dwivedi I.H.: Class. Quantum Gravity 9, L69 (1992)
Triginer J., Pavon D.: Class. Quantum Gravity 12, 689 (1995)
Mena F., Tavakol R.: Class. Quantum Gravity 16, 435 (1999)
Herrera L., Di Prisco A., Hernandez J., Santos N.O.: Phys. Lett. A 237, 343 (1998)
Herrera L. et al.: Phys. Rev. D 69, 084026 (2004)
Rosseland S.: Mon. Not. R. Astron. Soc. 84, 720 (1924)
Eddington A.: The International Constitution of the Stars. Cambridge University Press, Cambridge (1926)
Bekenstein J.: Phys. Rev. D 4, 2185 (1971)
Boulware D.: Phys. Rev. D 8, 2363 (1973)
Olson E., Bailyn M.: Phys. Rev. D 13, 2204 (1976)
Bally J., Harrison R.: Astrophys. J. 220, 743 (1978)
Cooperstock F., Cruz V.: Gen. Relativ. Gravit. 9, 835 (1978)
Mashhoon B., Partovi M.: Phys. Rev. D 20, 2455 (1979)
Ivanov B.: Phys. Rev. D 65, 104001 (2002)
Ghezzi C.: Phys. Rev. D 72, 104017 (2005)
Di Prisco A., Herrera L., Denmat G.L., MacCallum M.A.H., Santos N.O.: Phys. Rev. D 76, 064017 (2007)
Sharif M., Fatima S.: Gen. Relativ. Gravit. 43, 127 (2011)
Sharif M., Abass G.: Astrophys. Space Sci. 335, 515 (2011)
Sharif M., Siddiqa A.: Gen. Relativ. Gravit. 43, 73 (2011)
Herrera L., Santos N.O.: Phys. Rev. D 70, 084004 (2004)
Mitra A.: Phys. Rev. D 74, 024010 (2006)
Misner C.W.: Phys. Rev. B 137, 1360 (1965)
Isreal W., Stewart J.: Phys. Lett. A 58, 213 (1976)
Lattimer J.: Nucl. Phys. A 478, 199 (1988)
Herrera L.: Int. J. Mod. Phys. D 20, 1689 (2011)
Misner C.W., Sharp D.H.: Phys. Rev. B 136, 571 (1964)
Maartens, R.: Causal thermodynamics in relativity. arXiv:astro-ph/9609119
Eckart C.: Phys. Rev. 58, 919 (1940)
Landau L., Lifshitz E.: Fluid Mechanics. Pergamon Press, Oxford (1959)
Herrera L. et al.: Phys. Rev. D 79, 064025 (2009)
Herrera L. et al.: Phys. Rev. D 84, 107501 (2011)
Herrera L., Di Prisco A., Ospino J.: Gen. Relativ. Gravit. 42, 585 (2010)
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Sharif, M., Bashir, N. Effects of electromagnetic field on energy density inhomogeneity in self-gravitating fluids. Gen Relativ Gravit 44, 1725–1737 (2012). https://doi.org/10.1007/s10714-012-1362-3
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DOI: https://doi.org/10.1007/s10714-012-1362-3