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In this paper we investigate gravitationally bound, spherically symmetric equilibrium configurations consisting of ordinary (polytropic) matter nonminimally coupled to an external chameleon scalar field. We show that this system has static,…

Solar and Stellar Astrophysics · Physics 2012-04-03 Vladimir Folomeev , Douglas Singleton

We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$ formalisms unifying local constraints at the Solar System level and the…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Bogdan Danila , Tiberiu Harko , Francisco S. N. Lobo , Man Kwong Mak

For specifically coupled values of the quadratic gravity parameters, we present a fully explicit static spherically symmetric solution. It contains the central singularity surrounded by the black-hole or the cosmological horizon for the…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Simon Knoska , David Kofron , Robert Svarc

We investigate the vacuum and charged spherically symmetric static solutions of the Einstein equations on cosmological background. The background metric is not flat, but curved, with constant - curvature spatial sections. Both vacuum and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. N. Tentyukov

The static spherically symmetric solution for (R +- {\mu}^4/R) model of f(R)gravity is investigated. We obtain the metric for space-time in the solar system that reduces to the Schwarzschild metric, when {\mu} tends to zero. For the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Kh. Saaidi , A. Vaji , A. Aghamomammadi

In this work, we analyse static spherically symmetric solutions in the framework of mimetic gravity, an extension of general relativity where the conformal degree of freedom of gravity is isolated in a covariant fashion. Here we extend…

General Relativity and Quantum Cosmology · Physics 2018-12-13 Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

The most general set of static and spherically symmetric solutions for conformal Killing gravity coupled to Maxwell fields is presented in closed form. These solutions, depending on six parameters, include non-asymptotically flat black…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Gérard Clément , Khireddine Nouicer

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

General Relativity and Quantum Cosmology · Physics 2010-02-05 Christopher Eling , Ted Jacobson

This manuscript is the first in a series of instalments that investigate spherically symmetric solutions within the effective dynamics program of Loop Quantum Gravity. The choice of lattice is adapted such that it remains invariant under a…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Klaus Liegener , Saeed Rastgoo , Jorden Roberts

After dimensional reduction the stationary spherically symmetric sector of Einstein's gravity is identified with an SL(2,R)/SO(2) Sigma model coupled to a one dimensional gravitational remnant. The space of classical solutions consists of a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Helia Hollmann

We study the stability of the Vainshtein screening solution of the massive/bi-gravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the…

High Energy Physics - Theory · Physics 2016-09-30 Katsuki Aoki , Shuntaro Mizuno

We study relativistic stars in Hordenski theories that evade the gravitational wave constraints and exhibit the Vainshtein mechanism, focusing on a model based on the cubic Galileon Lagrangian. We derive the scalar field profile for static…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Hiromu Ogawa , Tsutomu Kobayashi , Kazuya Koyama

We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jose M. Martin-Garcia , Carsten Gundlach

We discuss static, cylindrically symmetric vacuum solutions of hybrid metric-Palatini gravity (HMPG), a recently proposed theory that has been shown to successfully pass the local observational tests and to produce a certain progress in…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

We explore the cosmological solutions of a recently proposed extension of General Relativity with a Lorentz-invariant mass term. We show that the same constraint that removes the Boulware-Deser ghost in this theory also prohibits the…

High Energy Physics - Theory · Physics 2013-05-29 G. D'Amico , C. de Rham , S. Dubovsky , G. Gabadadze , D. Pirtskhalava , A. J. Tolley

We derive the decoupling limit of Massive Gravity on de Sitter in an arbitrary number of space-time dimensions d. By embedding d-dimensional de Sitter into d+1-dimensional Minkowski, we extract the physical helicity-1 and helicity-0…

High Energy Physics - Theory · Physics 2015-06-05 Claudia de Rham , Sebastien Renaux-Petel

Numerical investigation of the static spherically symmetric vacuum solution of the Logunov equations confirms the analytical results and demonstrates a strong repulsion at sub-Planckian distance from the Schwarzschild-like singularity,…

Astrophysics · Physics 2007-05-23 Vladimir L. Kalashnikov

We derive the equations governing static, spherically symmetric vacuum solutions to the Einstein equations, as modified by the frame-dependent effective action arising from trace dynamics. We give analytic and numerical results for the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Stephen L. Adler , Fethi M. Ramazanoglu

Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically symmetric space-times.

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paschalis Karageorgis , John G. Stalker

We find a new family of galactic metrics corresponding to flat rotation curves at the outer radii. These are vacuum solutions to a gravity theory where the Newton's coupling varies mildly in space. The effective `mass', whose origin is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Rounak Chakraborty , Sandipan Sengupta