Spherical inhomogeneous solutions of Einstein and scalar–tensor gravity: A map of the land

V Faraoni, A Giusti, BH Fahim - Physics Reports, 2021 - Elsevier
We review spherical and inhomogeneous analytic solutions of the field equations of Einstein
and of scalar–tensor gravity, including Brans–Dicke theory, non-minimally (possibly …

General relativistic fluid spheres

HA Buchdahl - Physical Review, 1959 - APS
In Part I of this paper certain well known results concerning the Schwarzschild interior
solution are generalized to more general static fluid spheres in the form of inequalities …

Physical acceptability of isolated, static, spherically symmetric, perfect fluid solutions of Einstein's equations

MSR Delgaty, K Lake - Computer Physics Communications, 1998 - Elsevier
We ask the following question: Of the exact solutions to Einstein's equations extant in the
literature, how many could represent the field associated with an isolated static spherically …

Static charged perfect fluid spheres in general relativity

BV Ivanov - Physical Review D, 2002 - APS
Interior perfect fluid solutions for the Reissner-Nordström metric are studied on the basis of a
new classification scheme. It specifies which two of the characteristics of the fluid are given …

Stellar models with like-Tolman IV complexity factor

J Andrade, E Contreras - The European Physical Journal C, 2021 - Springer
In this work, we construct stellar models based on the complexity factor as a supplementary
condition which allows to close the system of differential equations arising from the …

Stable dark energy stars

FSN Lobo - Classical and Quantum Gravity, 2006 - iopscience.iop.org
The gravastar picture is an alternative model to the concept of a black hole, where there is
an effective phase transition at or near where the event horizon is expected to form, and the …

All static spherically symmetric perfect-fluid solutions of Einstein's equations

K Lake - Physical Review D, 2003 - APS
An algorithm based on the choice of a single monotone function (subject to boundary
conditions) is presented which generates all regular static spherically symmetric perfect-fluid …

Exact model for a relativistic star

R Tikekar - Journal of Mathematical Physics, 1990 - pubs.aip.org
Assuming that the physical three‐space in a relativistic superdense star has the geometry of
a three‐spheroid, a static spherically symmetric model based on an analytic closed‐form …

Static anisotropic solutions in f(T) theory

MH Daouda, ME Rodrigues, MJS Houndjo - The European Physical …, 2012 - Springer
In previous work, we undertook to study static and anisotropic content in f (T) theory and
obtained new spherically symmetric solutions considering a constant torsion and some …

Semiclassical constant-density spheres in a regularized Polyakov approximation

J Arrechea, C Barceló, R Carballo-Rubio, LJ Garay - Physical Review D, 2021 - APS
We provide an exhaustive analysis of the complete set of solutions of the equations of stellar
equilibrium under semiclassical effects. As classical matter we use a perfect fluid of constant …