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We present an alternative nonconservative gravitational theory based on the Herglotz variational principle in a fully covariant form. The present model may be seen as an improvement of the theory proposed in Ref. [Lazo et al, Phys. Rev. D…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Juilson A. P. Paiva , Matheus J. Lazo , Vilson T. Zanchin

In this paper the analogues of the Lorentz transformations for non-inertial reference frames have been obtained. A common case when the movement speed of one coordinate frame in relation to another one can have time derivatives of higher…

综合物理 · 物理学 2016-08-24 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva

Gravity is perturbatively renormalizable for the physical states which can be conveniently defined via foliation-based quantization. In recent sequels, one-loop analysis was explicitly carried out for Einstein-scalar and Einstein-Maxwell…

高能物理 - 理论 · 物理学 2021-11-12 I. Y. Park

This paper is concerned with giving the proof that there is a general decoupling property of vacuum and nonvacuum gravitational field equations in Einstein gravity and $f(R,T)$-modifications. The constructions are possible in terms of…

综合物理 · 物理学 2013-08-27 Sergiu I. Vacaru

Rastall gravity is a generalization of the Einstein gravity in which the matter is not conserved in the presence of a non-constant spacetime curvature. In this report, we analyze Rastall gravity using the linearized formalism. The…

广义相对论与量子宇宙学 · 物理学 2025-05-12 Yuwadee Tongkong

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

We analyze the transformation properties of Faraday law in an empty space and its relationship with Maxwell equations. In our analysis we express the Faraday law via the four-potential of electromagnetic field and the field of…

经典物理 · 物理学 2007-05-23 Alexander L Kholmetskii , Oleg V. Missevitch

We consider the basic physical properties of matter forming a thin accretion disc in the static and spherically symmetric space-time metric of the vacuum $f(R)$ modified gravity models. The Lagrangian of the generalized gravity theory is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 C. S. J. Pun , Z. Kovacs , T. Harko

Off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $f(R,T,R_{\mu \nu}T^{\mu \nu})$ type. To prove this statement, exact and approximate solutions are…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Emilio Elizalde , Sergiu I. Vacaru

We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

广义相对论与量子宇宙学 · 物理学 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

The exact axisymmetric and static solution of the Einstein equations coupled to axisymmetric and static gravitating scalar (or phantom) field is presented. The spacetimes modified by the scalar field are explicitly given for the so called…

广义相对论与量子宇宙学 · 物理学 2018-11-09 Bobur Turimov , Bobomurat Ahmedov , Martin Kološ , Zdeněk Stuchlík

A new approach to gravitational gauge-invariant perturbation theory begins from the fourth-order Einstein-Ricci system, a hyperbolic formulation of gravity for arbitrary lapse and shift whose centerpiece is a wave equation for curvature. In…

广义相对论与量子宇宙学 · 物理学 2011-04-21 Arlen Anderson , Andrew M. Abrahams , Chris Lea

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid. The formulation without a fluid is…

高能物理 - 理论 · 物理学 2011-03-22 G. Cognola , E. Elizalde , L. Sebastiani , S. Zerbini

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 give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

广义相对论与量子宇宙学 · 物理学 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

广义相对论与量子宇宙学 · 物理学 2017-08-08 Florent Michel

It was suggested that observations of the solar system exclude massive gravity, in the sense that the graviton mass must be rigorously zero. This is because there is a discontinuity in the linearized gravity theory at graviton mass equal to…

天体物理学 · 物理学 2009-11-07 Andrei Gruzinov

We investigate f(R)-gravity models performing the ADM-slicing of standard General Relativity. We extract the static, spherically-symmetric vacuum solutions in the general case, which correspond to either Schwarzschild de-Sitter or…

宇宙学与河外天体物理 · 物理学 2011-11-07 Sayan K. Chakrabarti , Emmanuel N. Saridakis , Anjan A. Sen

Referring to the behavior of accelerating objects in special relativity, and applying the principle of equivalence, one expects that the coordinate acceleration of point masses under gravity will be velocity dependent. Then, using the…

综合物理 · 物理学 2024-10-01 David L. Berkahn , James M. Chappell , Derek Abbott

We explore a background-independent theory of composite gravity. The vacuum expectation value of the composite metric satisfies Einstein's equations (with corrections) as a consistency condition, and selects the vacuum spacetime. A…

广义相对论与量子宇宙学 · 物理学 2021-06-09 Austin J. Batz , Joshua Erlich , Luke Mrini
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