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The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

广义相对论与量子宇宙学 · 物理学 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay

Recent data on supernovae favor high values of the cosmological constant. Spacetimes with a cosmological constant have non-relativistic kinematics quite different from Galilean kinematics. De Sitter spacetimes, vacuum solutions of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 R. Aldrovandi , A. L. Barbosa , L. C. B. Crispino , J. G. Pereira

We consider a special class of vacuum $F(R)$-modified gravity models. The form of their Lagrangian is such that the field equations are trivially satisfied when the Ricci scalar is constant. There are many interesting $F(R)$-models for…

广义相对论与量子宇宙学 · 物理学 2018-04-04 Marco Calzà , Massimiliano Rinaldi , Lorenzo Sebastiani

Leading order gravitational corrections to the Einstein-Hilbert action can lead to a consistent picture of the universe by unifying the epochs of inflation and dark energy in a single framework. While the leading local correction induces an…

广义相对论与量子宇宙学 · 物理学 2016-10-27 Alessandro Codello , Rajeev Kumar Jain

We study the effects of a fixed de Sitter geometry background in scenarios of false vacuum decay. It is currently understood that bubble nucleation processes associated with first order phase transitions are particularly important in…

广义相对论与量子宇宙学 · 物理学 2022-09-12 Juan S. Cruz , Stephan Brandt , Maximilian Urban

In this paper, we have presented the Noether symmetries of flat FRW spacetime in the context of a new action in Teleparallel Gravity which we construct it based on $f(R)$ version. This modified action contains a coupling between scalar…

广义相对论与量子宇宙学 · 物理学 2017-04-26 Behzad Tajahmad

We make a number of remarks on linearized gravity with cosmological constant in any dimension, which, we argue, can be useful in a quantum gravity framework. For this purpose we assume that the background space-time metric corresponds to…

广义相对论与量子宇宙学 · 物理学 2019-04-16 C. García-Quintero , A. Ortiz , J. A. Nieto

New corrections to General Relativity are considered in the context of modified $f(R)$ gravity, that satisfy cosmological and local gravity constraints. The proposed models behave asymptotically as $R-2\Lambda$ at large curvature and show…

广义相对论与量子宇宙学 · 物理学 2022-01-13 L. N. Granda

Within the recently proposed structured FRW model universe the averaged Einstein equations are derived. The backreaction turns out to have an interesting behavior. Its equivalent density and pressure, being proportional, are negative at…

天体物理学 · 物理学 2007-05-23 Reza Mansouri

We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, $f(R)$, $F(G)$ and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and…

高能物理 - 理论 · 物理学 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

To explain the cosmic speed up, brought to light by the recent SNIa and CMB observations, we propose the following: a) In a spacetime endowed with a FRW metric, we choose an empirical scale factor that best explains the observations. b) We…

天体物理学 · 物理学 2009-11-13 Sohrab Rahvar , Yousef Sobouti

A modified gravity theory with $f(R)=R^2$ coupled to a dark energy lagrangian $L=-V(\phi)F(X)$ , $X=\nabla_{\mu}\phi\nabla^{\mu}\phi$, gives plausible cosmological scenarios when the modified Friedman equations are solved subject to the…

宇宙学与河外天体物理 · 物理学 2020-10-30 Debashis Gangopadhyay , Somnath Mukherjee

A massive, nonrelativistic scalar field in an expanding spacetime is usually approximated by a pressureless perfect fluid, which leads to the standard conclusion that such a field can play the role of cold dark matter. In this paper, we…

宇宙学与河外天体物理 · 物理学 2020-07-14 Borna Salehian , Mohammad Hossein Namjoo , David I. Kaiser

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

We review on the viability of $F(R)$-gravity. We show that recent cosmic acceleration, radiation/matter-dominated epoch and inflation could be realized in the framework of $F(R)$-gravity in the unified way. For some classes of…

天体物理学 · 物理学 2008-02-01 Shin'ichi Nojiri , Sergei D. Odintsov

We discuss the classical and quantum properties of non-local modified Gauss-Bonnet gravity in de Sitter space, using its equivalent representation via string-inspired local scalar-Gauss-Bonnet gravity with a scalar potential. A classical,…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, $f(G)$, is added to the General Relativity action. We show that such theory is endowed with a quite rich…

高能物理 - 理论 · 物理学 2008-11-26 Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini

We consider a modified gravity theory, f(R)=R-a/R^n+bR^m, in the metric formulation, which has been suggested to produce late time acceleration in the Universe, whilst satisfying local fifth-force constraints. We investigate the parameter…

高能物理 - 理论 · 物理学 2008-11-26 Anthony W. Brookfield , Carsten van de Bruck , Lisa M. H. Hall

In this work we present the late-time behaviour of the Universe in the context of Einstein-Gauss-Bonnet gravitational theory. The theory involves a scalar field, which represents low-effective quantum corrections, assisted by a function…

广义相对论与量子宇宙学 · 物理学 2022-04-19 S. A. Venikoudis , K. V. Fasoulakos , F. P. Fronimos

We solve for the retarded Greens function for linearized gravity in a background with a negative cosmological constant, anti de Sitter space. In this background, it is possible for a signal to reach spatial infinity in a finite time.…

广义相对论与量子宇宙学 · 物理学 2011-09-09 Gary Kleppe