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New exact static solutions to Einstein’s equations for spherically symmetric perfect fluid distributions
J. Ibañez,J. L. Sanz +1 more
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In this paper, Heintzmann's generating method is used to build up a family of new exact solutions for each value of n, which are spherically symmetric and static with perfect fluid distributions satisfying a linear equation of state p = nρ and n∈(0, 1).Abstract:
New exact solutions to Einstein’s equations are given which are spherically symmetric and static with perfect fluid distributions satisfying a linear equation of state p = nρ and n∈(0,1]. Heintzmann’s generating method is then used to build up a family of new solutions for each value of n.read more
Citations
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Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations
M.S.R. Delgaty,Kayll Lake +1 more
TL;DR: 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.
Journal ArticleDOI
Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
TL;DR: The authors review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, and beyond Horndeshki/DHOST gravity.
Journal ArticleDOI
Spherically symmetric spacetimes and kinematic self-similarity
Patricia M. Benoit,Alan Coley +1 more
TL;DR: In this article, the qualitative properties of solutions of the perfect-fluid Einstein field equations in the case of spherical symmetry were investigated, and exact solutions were obtained and the asymptotic behaviour of the solutions were fully studied in these important subcases.
Journal ArticleDOI
A possible representation for the neutron star PSR J0437-4715
TL;DR: In this article, an exact solution to Einstein's field equations with the source of matter being an anisotropic fluid that allows to model compact stars with a rate of compactness $ u\le 0.2061897680$ of which the orders of magnitude of pressure and density match those of neutron stars.
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New solutions for charged spheres in general relativity
A. Patiño,Héctor Rago +1 more
TL;DR: In this article, exact solutions of the Einstein-Maxwell field equations for the case of static and spherically symmetric distribution of charged matter are obtained through the extension of a method originally used for neutral configurations and are conveniently matched to the Reissner-Nordstrom exterior metric.
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.
Journal ArticleDOI
New exact static solutions of einsteins field equations
TL;DR: In this paper, a method for deriving new solutions for an ideal fluid from old and give some new solutions which may be of interest in astrophysics is described. But this method is not suitable for the case of high-dimensional fluid.
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The relativistic incompressible sphere
H. A. Buchdahl,W. J. Land +1 more
TL;DR: The Schwarzschild interior solution as mentioned in this paper represents a static sphere the proper density of which has the same value throughout, and it is the most natural analogue of the classical incompressible sphere.