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A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions…

综合物理 · 物理学 2016-10-24 Gamal G. L. Nashed

We consider static, spherically symmetric, electrically or/and magnetically charged configurations of a minimally coupled scalar field with an arbitrary potential $V(\phi)$ in general relativity. Using the inverse problem method, we obtain…

广义相对论与量子宇宙学 · 物理学 2008-11-26 K. A. Bronnikov , M. S. Chernakova

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…

广义相对论与量子宇宙学 · 物理学 2010-02-05 Christopher Eling , Ted Jacobson

It is shown that among the four classes of the static spherically symmetric solution of the vacuum Brans-Dicke theory of gravity only two are really independent. Further by matching exterior and interior (due to physically reasonable…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Arunava Bhadra , Kabita Sarkar

It is shown that an arbitrary static, spherically symmetric metric can be presented as an exact solution of a scalar-tensor theory (STT) of gravity with certain nonminimal coupling function $f(\phi)$ and potential $U(\phi)$. The scalar…

广义相对论与量子宇宙学 · 物理学 2023-11-14 Kirill A. Bronnikov , Kodir Badalov , Rustam Ibadov

We consider a class of spherically symmetric spacetime to obtain some interesting solutions in F(R) gravity without matter field (pure gravity). We investigate the geometry of the solutions and find that there is an essential singularity at…

广义相对论与量子宇宙学 · 物理学 2014-03-03 S. H. Hendi , B. Eslam Panah , C. Corda

We study exact static spherically symmetric vacuum solutions in generic six-derivative gravity (i.e., without assuming specific relations between the coupling constants). Using modified Schwarzschild coordinates, we systematically classify…

广义相对论与量子宇宙学 · 物理学 2025-07-30 Breno L. Giacchini , Ivan Kolář

We find a new method for looking for the static and spherically symmetric solutions in $F(R)$ theory of gravity. With this method, a number of new solutions in terms of the analytic functions are obtained. We hope this investigation may be…

广义相对论与量子宇宙学 · 物理学 2016-09-15 Changjun Gao , You-Gen Shen

We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Eugeny Babichev , Christos Charmousis , Antoine Lehébel

We study the linear stability of vacuum static, spherically symmetric solutions to the gravitational field equations of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity, restricting ourselves to nonphantom…

广义相对论与量子宇宙学 · 物理学 2023-11-14 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Kodir Badalov , Rustam Ibadov

We consider scalar tensor theories in D-dimensional spacetime, D \ge 4. They consist of metric and a non minimally coupled scalar field, with its non minimal coupling characterised by a function. The probes couple minimally to the metric…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Arjun Bagchi , S. Kalyana Rama

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

We aim at finding static, spherically symmetric, vacuum solutions of a gauge invariant theory of gravity over Weyl integrable geometry spaces. It arises that vacuum wormholes of pure geometric nature are solutions of this theory. This means…

广义相对论与量子宇宙学 · 物理学 2023-08-03 Israel Quiros

We systematically study the field equations of $f(\mathbb Q)$ gravity for spherically symmetric and stationary metric-affine spacetimes. Such spacetimes are described by a metric as well as a flat and torsionless affine connection. In the…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , Simon Kuhn

We investigate all static spherically symmetric solutions in the context of general relativity surrounded by a minimally-coupled quintessence field, using dynamical system analysis. Applying the 1+1+2 formalism and introducing suitable…

广义相对论与量子宇宙学 · 物理学 2017-05-29 Miguel Cruz , Apratim Ganguly , Radouane Gannouji , Genly Leon , Emmanuel N. Saridakis

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…

广义相对论与量子宇宙学 · 物理学 2026-03-24 Valery I. Zhdanov

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

Properties of $n(\ge 5)$-dimensional static wormhole solutions are investigated in Einstein-Gauss-Bonnet gravity with or without a cosmological constant $\Lambda$. We assume that the spacetime has symmetries corresponding to the isometries…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Hideki Maeda , Masato Nozawa

We give a pedagogical introduction to static spherically symmetric solutions in models of New GR, both explaining the basics and showing how all such vacuum solutions can be obtained in elementary functions. In doing so, we coherently…

广义相对论与量子宇宙学 · 物理学 2024-02-07 Alexey Golovnev , A. N. Semenova , V. P. Vandeev

A phase space is built that allows to study, classify and compare easily large classes of static spherically symmetric wormholes solutions, sustained by an isotropic perfect fluid in General Relativity. We determine the possible locations…

广义相对论与量子宇宙学 · 物理学 2020-01-01 Stephane Fay