Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations
M.S.R. Delgaty,Kayll Lake +1 more
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In this paper, the exact solutions to Einstein's equations are compared to the field associated with an isolated static spherically symmetric perfect fluid source, and the candidate solutions are subjected to the following elementary tests: (i) isotropy of the pressure, (ii) regularity at the origin, (iii) positive definiteness of the energy density and pressure at the beginning, vanishing of pressure at some finite radius, and (iv) monotonic decrease of the EE with increasing radius.About:
This article is published in Computer Physics Communications.The article was published on 1998-12-02 and is currently open access. It has received 474 citations till now. The article focuses on the topics: Static spherically symmetric perfect fluid & Perfect fluid.read more
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$f(R,T)$ gravity
TL;DR: In this article, the authors considered a modified theory of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and of the trace of the stress-energy tensor.
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Neutron Star Structure and the Equation of State
TL;DR: In this article, Buchdahl and Tolman showed that the moment of inertia and the binding energy of a neutron star are nearly universal functions of the star's compactness, which can be understood by considering two analytic, yet realistic, solutions of Einstein's equations.
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The physics of neutron stars
TL;DR: Observations that include studies of pulsars in binary systems, thermal emission from isolated neutron stars, glitches from pulsars, and quasi-periodic oscillations from accreting neutron stars provide information about neutron star masses, radii, temperatures, ages, and internal compositions.
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Sound speeds, cracking and the stability of self-gravitating anisotropic compact objects
TL;DR: In this article, the authors explore the influence that density fluctuations and local anisotropy have on the stability of local and non-local anisotropic matter configurations in general relativity and show that potentially unstable regions within a configuration can be identified as a function of the difference of propagations of sound along tangential and radial directions.
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Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
TL;DR: In this article, the authors explore the influence of density fluctuations and local anisotropy on the stability of local and non-local anisotropic matter configurations in general relativity and show that potentially unstable regions within a configuration can be identified as a function of the difference of propagations of sound along tangential and radial directions.
References
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Book
Exact Solutions of Einstein's Field Equations
TL;DR: A survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources can be found in this paper, where the solutions are ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties.
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Static Solutions of Einstein's Field Equations for Spheres of Fluid
TL;DR: In this article, a method is developed for treating Einstein's field equations, applied to static spheres of fluid, in such a manner as to provide explicit solutions in terms of known analytic functions.
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General Relativistic Fluid Spheres
TL;DR: In this article, a singularity-free elementary algebraic solution of the field equations is presented and exact values obtained from it compared with the limits prescribed by some of the inequalities.
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Über die physikalischen Grundlagen der Einsteinschen Gravitationstheorie
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New analytical stellar model in general relativity
M. C. Durgapal,R. Bannerji +1 more
TL;DR: In this article, a new analytical solution has been obtained for stellar models by solving Einstein's field equation for the spherically symmetric and static case, and the variation of density is smooth and gradual.