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The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius),…

General Relativity and Quantum Cosmology · Physics 2011-06-10 Michael V. Bebronne , Peter G. Tinyakov

We present a detailed study of the spherically symmetric solutions in Lorentz breaking massive gravity. There is an undetermined function $\mathcal{F}(X, w_1, w_2, w_3)$ in the action of St\"{u}ckelberg fields…

General Relativity and Quantum Cosmology · Physics 2016-04-29 Ping Li , Xin-zhou Li , Ping Xi

Classes of exact static solutions in four-dimensional Einstein-Maxwell-Dilaton gravity are found. Besides of the well-known solutions previously found in the literature, new solutions are presented.It's shown that spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Yazadjiev

Considering an action in F(G) modified gravity, the static spherically symmetric solutions are investigated. Introducing the Lagrangian multipliers {\alpha} we obtain the Lagrangian and equations of motion. we obtain two type solutions for…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Naser Mohammadipour

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 construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

Since all Einstein spacetimes are vacuum solutions to quadratic gravity in four dimensions, in this paper we study various aspects of non-Einstein vacuum solutions to this theory. Most such known solutions are of traceless Ricci and Petrov…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

We find a two-parameter family of {\it generalized superstrata} that emerge as smooth, supersymmetric solutions in three-dimensional gauged supergravity coupled to additional scalar fields. This new family of generalized superstrata are…

High Energy Physics - Theory · Physics 2023-03-29 Bogdan Ganchev , Anthony Houppe , Nicholas P. Warner

A family of spherically symmetric, static and self--dual Lorentzian wormholes is obtained in n--dimensional Einstein gravity. This class of solutions includes the n--dimensional versions of the Schwarzschild black hole and the…

High Energy Physics - Theory · Physics 2009-11-07 M. Cataldo , P. Salgado , P. Minning

We investigate black hole solutions within a phenomenological approach to quantum gravity based on spacetime thermodynamics developed by Alonso-Serrano and Li\v{s}ka. The field equations are traceless, similarly to unimodular gravity, and…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Ana Alonso-Serrano , Marco de Cesare , Manuel Del Piano

In this work, we study a vector model of spontaneous spacetime-symmetry breaking coupled to gravity: the bumblebee model. The primary focus is on static spherically symmetric solutions. Complementing previous work on black hole solutions,…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Quentin G. Bailey , Hailey S. Murray , Dario T. Walter-Cardona

We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions…

High Energy Physics - Theory · Physics 2010-11-19 Youngjai Kiem , Dahl Park

We present a systematic method for constructing static, spherically symmetric regular spacetimes in general relativity satisfying the weak energy condition. Our approach relies on physically reasonable assumptions on the matter energy…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Zi-Liang Wang , Emmanuele Battista

When starting with a static, spherically-symmetric ansatz, there are two types of black hole solutions in dRGT massive gravity: (i) exact Schwarzschild solutions which exhibit no Yukawa suppression at large distances and (ii) solutions in…

High Energy Physics - Theory · Physics 2017-11-22 Rachel A Rosen

We study the full spectrum of spherically symmetric solutions in the five dimensional non-projectable Horava-Lifshitz type gravity theories. For appropriate ranges of the coupling parameters, we have found several classes of solutions which…

High Energy Physics - Theory · Physics 2014-11-20 G. Koutsoumbas , E. Papantonopoulos , P. Pasipoularides , M. Tsoukalas

We perform the characterization program for the supersymmetric configurations and solutions of the $\mathcal{N}=1$, $d=5$ Supergravity Theory coupled to an arbitrary number of vectors, tensors and hypermultiplets and with general…

High Energy Physics - Theory · Physics 2009-10-02 Jorge Bellorin

We consider the recently proposed non-relativistic Ho\v{r}ava-Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations…

High Energy Physics - Theory · Physics 2010-04-06 Alex Kehagias , Konstadinos Sfetsos

We study series of the stationary solutions with asymptotic flatness properties in the Einstein-Maxwell-free scalar system because they are locally equivalent with the exterior solutions in some class of the scalar-tensor theories of…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Tooru Tsuchida , Kazuya Watanabe

We derive general static spherically symmetric solutions in the Horava theory of gravity with nonzero shift field. These represent "hedgehog" versions of black holes with radial "hair" arising from the shift field. For the case of the…

High Energy Physics - Theory · Physics 2020-03-06 Dario Capasso , Alexios P. Polychronakos

We study the spacetime structures of the static solutions in the $n$-dimensional Einstein-Gauss-Bonnet-$\Lambda$ system systematically. We assume the Gauss-Bonnet coefficient $\alpha$ is non-negative. The solutions have the…

High Energy Physics - Theory · Physics 2009-11-11 Takashi Torii , Hideki Maeda
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