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We study properties of static spherically symmetric solutions in $f(\mathbb T)$ gravity. Based on our previous work on generalising Bianchi identities for this kind of theories, we show how this search of solutions can be reduced to the…

广义相对论与量子宇宙学 · 物理学 2021-05-03 Alexey Golovnev , Maria-Jose Guzman

Spherically symmetric static vacuum solutions have been built in $f(T)$ models of gravity theory. We apply some conditions on the metric components; then the new vacuum spherically symmetric solutions are obtained. Also, by extracting…

广义相对论与量子宇宙学 · 物理学 2013-11-19 K. Atazadeh , Misha Mousavi

We study a class of static spherically symmetric vacuum solutions in modified teleparallel gravity solving the field equations for a specific model Ansatz, requiring the torsion scalar $T$ to be constant. We discuss the models falling in…

广义相对论与量子宇宙学 · 物理学 2024-05-21 Marco Calzá an Lorenzo Sebastiani

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…

广义相对论与量子宇宙学 · 物理学 2018-12-13 Ratbay Myrzakulov , Lorenzo Sebastiani , Sunny Vagnozzi , Sergio Zerbini

In this work, we study spherically symmetric vacuum solutions in 1-parameter New General Relativity (NGR), a specific theory in teleparallel gravity which is constructed from the three possible quadratic scalars obtained from torsion with…

广义相对论与量子宇宙学 · 物理学 2024-03-13 Helen Asuküla , Sebastian Bahamonde , Manuel Hohmann , Vasiliki Karanasou , Christian Pfeifer , João Luís Rosa

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general…

广义相对论与量子宇宙学 · 物理学 2010-04-22 Anne Marie Nzioki , Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby

In this paper we analyze spherically symmetric static vacuum solutions with various topologies in mimetic gravity. When the Einstein's tensor is different from zero, a new class of solutions different from the Schwarzschild one emerges from…

广义相对论与量子宇宙学 · 物理学 2015-09-21 Ratbay Myrzakulov , Lorenzo Sebastiani

The spherically symmetric static solutions are searched for in some f(T) models of gravity theory with a Maxwell term. To do this, we demonstrate that reconstructing the Lagrangian of f(T) theories is sensitive to the choice of frame, and…

广义相对论与量子宇宙学 · 物理学 2011-08-11 Tower Wang

In this work, we present an exact static spherically symmetric vacuum solution of the New General Relativity (NGR) field equations. Unlike the Schwarzschild solution in General Relativity (GR), this solution is characterized by two…

广义相对论与量子宇宙学 · 物理学 2026-05-08 V. P. Vandeev , V. A. Parkhomenko , A. N. Semenova

We study the most general case of spherically symmetric vacuum solutions in the framework of the Covariant Horava Lifshitz Gravity, for an action that includes all possible higher order terms in curvature which are compatible with…

高能物理 - 理论 · 物理学 2011-04-29 Jean Alexandre , Pavlos Pasipoularides

The Lagrangian derivation of the Equations of Motion for topological static spherically symmetric metrics in $\mathcal F (R,G)$-modified gravity is presented and the related solutions are discussed. In particular, a new topological solution…

广义相对论与量子宇宙学 · 物理学 2013-04-16 Ratbay Myrzakulov , Lorenzo Sebastiani , Sergio Zerbini

In this work we investigate analytic static and spherically symmetric solutions of a generalized theory of gravity in the Einstein-Cartan formalism. The main goal consists in analyzing the behavior of the solutions under the influence of a…

广义相对论与量子宇宙学 · 物理学 2018-08-15 F. A. Silveira , R. F. Sobreiro , A. A. Tomaz

We solve the gravitational field equations for a static, spherically symmetric spacetime within the framework of the symmetric teleparallel theory of gravity. Specifically, we derive new solutions within the context of power-law $f(Q)$…

广义相对论与量子宇宙学 · 物理学 2024-12-30 Nikolaos Dimakis , Petros A. Terzis , Andronikos Paliathanasis , Theodosios Christodoulakis

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form f(R,R_{\mu\nu}R^{\mu\nu}). We obtain the Tolman-Oppenheimer-Volkov equations…

广义相对论与量子宇宙学 · 物理学 2012-11-06 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

A Lagrangian derivation of the Equation of Motion (EOM) for static spherically symmetric metrics in F(R) modified gravity is presented. For a large class of metrics, our approach permits to reduce the EOM to a single equation and we show…

广义相对论与量子宇宙学 · 物理学 2015-09-21 Lorenzo Sebastiani , Sergio Zerbini

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…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Stephen L. Adler , Fethi M. Ramazanoglu

Spherically symmetric static empty space solutions are studied in f(R) theories of gravity. We reduce the set of modified Einstein's equations to a single equation and show how one can construct exact solutions in different f(R) models. In…

天体物理学 · 物理学 2009-11-11 Tuomas Multamaki , Iiro Vilja

In this paper we investigate spherically symmetric vacuum solutions of $f(R)$ gravity in a higher dimensional spacetime. With this objective we construct a system of non-linear differential equations, whose solutions depend on the explicit…

广义相对论与量子宇宙学 · 物理学 2014-11-18 T. R. P. Caramês , E. R. Bezerra de Mello

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

广义相对论与量子宇宙学 · 物理学 2008-11-07 S. Deser , O. Sarioglu , B. Tekin

We analyse the vacuum static spherically symmetric space-time for a specific class of non-conservative theories of gravity based on the Rastall's theory. We obtain a new vacuum solution which has the same structure as the Schwarzschild-de…

广义相对论与量子宇宙学 · 物理学 2016-06-15 A. M. Oliveira , H. E. S. Velten , J. C. Fabris
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