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A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

综合物理 · 物理学 2013-05-30 D. H. Sattinger

The gravitational positivity bound gives quantitative "swampland'' constraints on low-energy effective theories inside theories of quantum gravity. We give a comprehensive discussion of this bound for those interested in applications to…

高能物理 - 唯象学 · 物理学 2024-07-17 Katsuki Aoki , Toshifumi Noumi , Ryo Saito , Sota Sato , Satoshi Shirai , Junsei Tokuda , Masahito Yamazaki

We study spherically symmetric configurations of the quadratic $f(R)$ gravity in the Einstein frame. In case of a purely gravitational system, we have determined the global qualitative behavior of the metric and the scalaron field for all…

广义相对论与量子宇宙学 · 物理学 2024-07-30 V. I. Zhdanov , O. S. Stashko , Yu. V. Shtanov

We investigate Einstein theories of gravity, coupled to a scalar field \vphi and point-like matter, which are characterized by a scalar field-dependent matter coupling function e^{H(\vphi)}. We show that under mild constraints on the form…

广义相对论与量子宇宙学 · 物理学 2014-11-18 M. Cadoni , M. Casula

We present a complete treatment in the strong field limit of gravitational retro-lensing by a static spherically symmetric compact object having a photon sphere. The results are compared with those corresponding to ordinary lensing in…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Ernesto F. Eiroa , Diego F. Torres

We consider gravitational lensing under a weak-field approximation and in a strong deflection limit by a Bronnikov-Kim wormhole with the same metric as the one of a wormhole which has been suggested in Einstein-Dirac-Maxwell theory. The…

广义相对论与量子宇宙学 · 物理学 2022-03-08 Naoki Tsukamoto

In the presence of an electromagnetic (EM) field the space-time metrics are affected by the field potential. The principle of superposition, which usually rules EM fields, is no longer valid for the biggest fields and Maxwell's equations,…

综合物理 · 物理学 2023-12-27 Pierre Marx

General Relativity extended through a dynamical scalar quartet is proposed as a theory of the scalar-vector-tensor gravity, generically describing the unified gravitational dark matter (DM) and dark energy (DE). The implementation in the…

广义相对论与量子宇宙学 · 物理学 2017-07-11 Yury F. Pirogov

We investigate the modified $F(R)$ gravity theory with the function $F(R) = (1-\sqrt{1-2\lambda R-\sigma (\lambda R)^2})/\lambda$. The action is converted into Einstein$-$Hilbert action at small values of $\lambda$ and $\sigma$. The local…

广义相对论与量子宇宙学 · 物理学 2016-03-23 S. I. Kruglov

We discuss constraint structure of extended theories of gravitation (also known as f(R) theories) in the vacuum selfdual formulation introduced in ref. [1].

广义相对论与量子宇宙学 · 物理学 2015-03-13 L. Fatibene , M. Ferraris , M. Francaviglia

A four-vector field in flat space-time, satisfying a gauge-invariant set of second-order differential equations, is considered as a unified field. The model variational principle corresponds to the general covariance idea and gives rise to…

高能物理 - 理论 · 物理学 2008-11-26 Alexander A. Chernitskii

We consider the perturbation of the Schwarzschild solution by the perimeter action. The asymptotic behaviour of the solution at infinity and at the horizon are calculated and analysed in the first approximation. The perturbation is…

广义相对论与量子宇宙学 · 物理学 2021-05-19 George Savvidy

The recent study of the strong gravitational lens ESO 325-G004 [1] leads to a new possibility for testing General Relativity and its extensions. Such gravity lens observational studies can be instrumental for establishing a limitation on…

综合物理 · 物理学 2018-11-07 V. G. Gurzadyan , A. Stepanian

We study spherically symmetric solutions in f(R) theories and its compatibility with local tests of gravity. We start by clarifying the range of validity of the weak field expansion and show that for many models proposed to address the Dark…

广义相对论与量子宇宙学 · 物理学 2010-10-27 I. Navarro , K. Van Acoleyen

We derive the weak field limit of scalar-Gauss-Bonnet theory and place novel bounds on the parameter space using terrestrial and space-based experiments. In order to analyze the theory in the context of a wide range of experiments, we…

广义相对论与量子宇宙学 · 物理学 2023-02-15 Benjamin Elder , Jeremy Sakstein

$f(R,T)$ gravity is a widely used extended theory of gravity introduced in \cite{9} which is a straightforward generalization of $f(R)$ gravity. The action in this extended theory of gravity incorporates well motivated functional forms of…

广义相对论与量子宇宙学 · 物理学 2020-07-09 Snehasish Bhattacharjee , P. K. Sahoo

We study the degrees of freedom of the metric in a general class of higher derivative gravity models, which are interesting in the context of quantum gravity as they are (super)renormalizable. First, we linearize the theory for a flat…

广义相对论与量子宇宙学 · 物理学 2019-04-05 Patric Hölscher

We generalise the Buchdahl-Bondi limit for the case of static, spherically symmetric, relativistic compact stars immersed in Schwarzschild vacuum in f(R)-theory of gravity, subject to very generic regularity, thermodynamic stability and…

广义相对论与量子宇宙学 · 物理学 2015-09-09 Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki

We explore alternate theories of gravity where the gravitational term in the Lagrangian $\frac{R}{8\pi G}$ is replaced by a function $f_1(R)$ and the matter Lagrangian is multiplied by a function $f_2(R)$. We argue that nuclear physics can…

广义相对论与量子宇宙学 · 物理学 2022-01-19 Sarah B. Fisher , Eric D. Carlson

A novel constraint on $f(R)$ theories of gravity is obtained from the gravitational wave signal emitted from the binary neutron star merger event GW170817. The $f(R)$ theories possess an additional massive scalar degree of freedom apart…

广义相对论与量子宇宙学 · 物理学 2019-03-04 Soumya Jana , Subhendra Mohanty