Anisotropic spheres in general relativity

We have obtained static and spherically symmetric self-gravitating solution of the field equations for anisotropic distribution of matter in higher-dimensional in the context of Einstein's general theory of relativity. This work is an extension of the previous work of Hector Rago (Astrophys. Space Sci. 183:333, 1991) for four dimensional space-time. The solutions are matched to the analytical solutions for spherically symmetric self gravitating distribution of anisotropic matter obtained by Hector Rago (1991) for n = 2.

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“…The present result reduces to the result obtained by Hector Rago (1991) for n = 2 (i.e. four dimensional case).…”

Section: Discussioncontrasting

confidence: 78%

“…This work is an extension of a similar work obtained earlier by Hector Rago (1991) for four dimensional space-time. The solution gives agreement with the exact analytical solutions for spherically symmetric self gravitating distribution of anisotropic matter obtained by Hector Rago (1991) for n = 2.…”

Section: Introductionmentioning

confidence: 80%

Anisotropic fluid distribution in higher dimensional general theory of relativity

Kandalkar

Gawande

2008

Astrophys Space Sci

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“…Since µ ∝ r −2 we may relate (20) to the results of other treatments. Dev and Gleiser [6], Herrera and Santos [11] and Petri [19] found solutions to the anisotropic Einstein field equations involving µ ∝ r −2 .…”

Section: Special Casesmentioning

confidence: 99%

Compact anisotropic spheres with prescribed energy density

2005

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New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model of Maharaj and Maartens (Gen. Rel. Grav., Vol 21, 899-905, 1989) and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav., Vol 26, 75-84, 1994) as special cases. These anisotropic spheres match smoothly to the Schwarzschild exterior and gravitational potentials are well behaved in the interior. A graphical analysis of the matter variables is performed which points to a physically reasonable matter distribution.Comment: 22 pages, 3 figures, to appear in Gen. Rel. Gra

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“…In compact objects anisotropy in fluid pressure may also exist because of the presence of solid core and occurrence of various physical processes in star. Dynamics and structural features of gravitating systems in anisotropic environment are explored in detail in [11][12][13][14]. Maharaj and Chaisi [15] presented the con-struction of anisotropic models by using solutions calculated from isotropic models.…”

Section: Introductionmentioning

confidence: 99%

Charged anisotropic compact star core-envelope model with polytropic core and linear envelope

2021

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This manuscript is related to the construction of relativistic core-envelope model for spherically symmetric charged anisotropic compact objects. The polytropic equation of state is considered for core, while it is linear in the case of envelope. We present that core, envelope and the Reissner Nordstr$$\ddot{o}$$ o ¨ m exterior regions of stars match smoothly. It has been verified that all physical parameters are well behaved in the core and envelope region for the compact stars SAX J1808.4-3658 and 4U1608-52. Various physical parameters inside star are discussed herein, non-singularity and continuity at the junction has been catered as well. Impact of charged compact object together with core-envelope model on the mass, radius and compactification factor is described by graphical representation in both core and envelop regions. The stability of the model is worked out with the help of Tolman–Oppenheimer–Volkoff equations and radial sound speed.

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Anisotropic spheres in general relativity

Cited by 18 publications

References 12 publications

Anisotropic fluid distribution in higher dimensional general theory of relativity

Anisotropic fluid distribution in higher dimensional general theory of relativity

Compact anisotropic spheres with prescribed energy density

Charged anisotropic compact star core-envelope model with polytropic core and linear envelope

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