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We study spherically-symmetric structures in Conformal Gravity and in a scalar-tensor extension and gain some more insight about these gravitational theories. In both cases we analyze solutions in two systems: perfect fluid solutions and…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Y. Brihaye , Y. Verbin

We consider a class of static and spherically symmetric black hole geometries endowed with a photon sphere. On the one hand, we show that close to the photon sphere, a massless scalar field theory exhibits a simple dynamical…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Bernard Raffaelli

The physical properties of bound-state charged massive scalar field configurations linearly coupled to a spherically symmetric charged reflecting shell are studied {\it analytically}. To that end, we solve the Klein-Gordon wave equation for…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Shahar Hod

We present new spherically symmetric solutions of the Einstein-Klein-Gordon equations in a quasi-stationary approximation that describe self-gravitating scalar field configurations around a black hole, including angular momentum number…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Miguel Alcubierre , Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Dario Nunez , Olivier Sarbach

We reveal the existence of a new form of spontaneously scalarized black-hole configurations. In particular, it is proved that Reissner-Nordstr\"om black holes in the highly charged regime $Q/M>(Q/M)_{\text{crit}}=\sqrt{21}/5$ can support…

High Energy Physics - Theory · Physics 2022-02-23 Shahar Hod

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

In this paper, we explore static spherically symmetric wormhole solutions in the framework of $n$-dimensional Einstein Gauss-Bonnet gravity. Our objective is to find out wormhole solutions that satisfy energy conditions. For this purpose,…

General Physics · Physics 2016-11-02 Shamaila Rani , Abdul Jawad

The spherically symmetric thin shells are the nearest generalizations of the point-like particles. Moreover, they serve as the simple sources of the gravitational fields both in General Relativity and much more complex quadratic gravity…

General Relativity and Quantum Cosmology · Physics 2018-12-17 Victor Berezin , Vyacheslav Dokuchaev , Yury Eroshenko

We consider a self-gravitating collisionless gas as described by the Vlasov-Poisson or Einstein-Vlasov system or a self-gravitating fluid ball as described by the Euler-Poisson or Einstein-Euler system. We give a simple proof for the finite…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Tobias Ramming , Gerhard Rein

We study smooth, spherically-symmetric solutions to the Vlasov-Poisson system and relativistic Vlasov-Poisson system in the plasma physical case. In particular, we construct solutions that initially possess arbitrarily small charge…

Analysis of PDEs · Mathematics 2023-12-05 Kaiwen Tan

A topological geon is the quotient manifold $M/Z_2$ where $M$ is a static spherically symmetric wormhole having the reflection symmetry with respect to its throat. We distinguish such asymptotically flat solutions of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2018-05-14 P V Kratovitch , I M Potashov , Ju V Tchemarina , A N Tsirulev

We construct a one-parameter family of static and spherically symmetric solutions to the Einstein-Vlasov system bifurcating from the Schwarzschild spacetime. The constructed solutions have the property that the spatial support of the matter…

Analysis of PDEs · Mathematics 2020-01-24 Fatima Ezzahra Jabiri

In our paper we pay attention to the problem of uniqueness (classification) of higher-dimensional electro-magnetic static, asymptotically flat, non-extremal solutions of multi-dimensional Einstein (n-2)-form gauge field gravity theory,…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Marek Rogatko

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, $\nu^\prime= 0$ and (ii) $\rho=0$, $…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saibal Ray

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

General Relativity and Quantum Cosmology · Physics 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

Applying the method of conformal metric to a given static axially symmetric vacuum solution of the Einstein equations, we have shown that there is no solution representing a cosmic ideal fluid which is asymtotically FLRW. Letting the cosmic…

General Relativity and Quantum Cosmology · Physics 2019-09-09 Fatemeh Bagheri , Reza Mansouri

f(R) gravity is a well-known modification of General Relativity, that can be reduced to a scalar-tensor theory by a conformal transformation (Einstein frame). We study static spherically symmetric (SSS) asymptotically flat vacuum…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Valery I. Zhdanov

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We study shear-free spherically symmetric relativistic gravitating fluids with heat flow and electric charge. The solution to the Einstein-Maxwell system is governed by the generalised pressure isotropy condition which contains a…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Y. Nyonyi , S. D. Maharaj , K. S. Govinder

The asymptotically flat, spherical, electro-vacuum black holes (BHs) are shown to support static, spherical configurations of a gauged, self-interacting, scalar field, minimally coupled to the geometry. Considering a $Q$-ball type potential…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Carlos A. R. Herdeiro , Eugen Radu