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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

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…

广义相对论与量子宇宙学 · 物理学 2020-10-20 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

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 consider spherically symmetric solutions within the context of brane-world theory without mirror symmetry or any form of junction conditions. For a constant curvature bulk, we obtain the modified Tolman-Oppenheimer-Volkoff (TOV) interior…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Malihe Heydari-Fard , Hamid R. Sepangi

We study weak-field solutions having spherical symmetry in $f(T)$ gravity; to this end, we solve the field equations for a non diagonal tetrad, starting from Lagrangian in the form $f(T)=T+\alpha T^{n}$, where $\alpha$ is a small constant,…

广义相对论与量子宇宙学 · 物理学 2015-05-25 Matteo Luca Ruggiero , Ninfa Radicella

Hybrid metric-Palatini gravity is a recent and novel approach to modified theories of gravity, which consists of adding to the metric Einstein-Hilbert Lagrangian an f(R) term constructed a la Palatini. It was shown that the theory passes…

广义相对论与量子宇宙学 · 物理学 2015-02-19 Christian G. Boehmer , Francisco S. N. Lobo , Nicola Tamanini

Although general relativistic cosmological solutions, even in the presence of pressure, can be mimicked by using neo-Newtonian hydrodynamics, it is not clear whether there exists the same Newtonian correspondence for spherical static…

广义相对论与量子宇宙学 · 物理学 2015-06-23 A. M. Oliveira , H. E. S. Velten , J. C. Fabris , I. G. Salako

We study relativistic stars in degenerate higher-order scalar-tensor theories that evade the constraint on the speed of gravitational waves imposed by GW170817. It is shown that the exterior metric is given by the usual Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2018-05-16 Tsutomu Kobayashi , Takashi Hiramatsu

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

In this work we characterize all the static and spherically symmetric vacuum solutions in $f(R)$ gravity when the principal null directions of the Weyl tensor are non-expanding. In contrast to General Relativity, we show that the Nariai…

广义相对论与量子宇宙学 · 物理学 2024-07-19 Alberto Guilabert , Pelayo V. Calzada , Pedro Bargueño , Salvador Miret-Artés

The effects implied for the structure of compact objects by the modification of General Relativity produced by the generalization of the Lagrangian density to the form f(R)=R+\alpha R^2, where R is the Ricci curvature scalar, have been…

宇宙学与河外天体物理 · 物理学 2013-01-24 Mariana Orellana , Federico García , Florencia Anabella Teppa Pannia , Gustavo Esteban Romero

The utmost concern of this article is the construction of modified scalar functions (structure scalars) by taking Palatini $f(R)$ gravitational theory into account. At first, a general formalism is established in which we assess…

广义相对论与量子宇宙学 · 物理学 2021-09-02 M. Z. Bhatti , Z. Yousaf , Z. Tariq

Recently Flanagan [astro-ph/0308111] has argued that the Palatini form of 1/R gravity is ruled out by experiments such as electron-electron scattering. His argument involves adding minimally coupled fermions in the Jordan frame and…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dan N. Vollick

Non-local $f(R)$ gravity was proposed as a powerfull alternative to general relativity (GR) . This theory has potentially adverse implications for infrared (IR) regime as well as ultraviolent(UV) early epochs. However, there are a lot of…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Davood Momeni , H. Gholizade , Muhammad Raza , Ratbay Myrzakulov

We study the construction of the so-called intrinsic action for PDEs equipped with compatible presymplectic structures. In particular, we explicitly demonstrate that the intrinsic action for the standard Einstein-Hilbert gravity is the…

高能物理 - 理论 · 物理学 2022-03-02 Maxim Grigoriev , Vyacheslav Gritzaenko

The gravitational properties of the {\em only} static plane-symmetric vacuum solution of Einstein's field equations without cosmological term (Taub's solution, for brevity) are presented: some already known properties (geodesics, weak field…

广义相对论与量子宇宙学 · 物理学 2016-08-31 M. L. Bedran , M. O. Calvao , I. Damiao Soares , F. M. Paiva

We discuss static spherically symmetric solutions in a recently proposed non-local infrared modification of Einstein equations induced by a term $m^2g_{\mu\nu}\Box^{-1} R$, where $m$ is a mass scale. We find that, contrary to what happens…

高能物理 - 理论 · 物理学 2015-06-18 Alex Kehagias , Michele Maggiore

We determine the general conditions for the existence of Godel, Einstein static, and de Sitter universes in gravity theories derived from a Lagrangian that is an arbitrary function of the scalar curvature and Ricci and Riemann curvature…

广义相对论与量子宇宙学 · 物理学 2009-11-11 T. Clifton , John D. Barrow

We study the field equations of modified theories of gravity in which the lagrangian is a general function of the Ricci scalar and Ricci-squared terms in Palatini formalism. We show that the independent connection can be expressed as the…

广义相对论与量子宇宙学 · 物理学 2009-09-01 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

We study the behavior of static, spherically symmetric solutions to the field equations of scalar-tensor theories (STT) of gravity belonging to the Bergmann-Wagoner-Nordtvedt class, in the presence of an electric and/or magnetic charge.…

广义相对论与量子宇宙学 · 物理学 2024-10-18 Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Rustam Ibadov , Feruza Y. Shaymanova