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We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as…

高能物理 - 理论 · 物理学 2012-09-17 José Bernabeu , Domènec Espriu , Daniel Puigdomènech

Emergent modified gravity presents a new set of generally covariant gravitational theories in which the space-time metric is not directly given by one of the fundamental fields. A metric compatible with the modified dynamics of gravity is…

广义相对论与量子宇宙学 · 物理学 2024-04-09 Martin Bojowald , Erick I. Duque

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Gonzalo J. Olmo

We present a formalism to study the metric perturbations of the Schwarzschild spacetime. The formalism is gauge invariant, and it is also covariant under two-dimensional coordinate transformations that leave the angular coordinates…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Karl Martel , Eric Poisson

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

The evolution of density perturbations is analysed in a modified theory of gravity with a nonminimal coupling between curvature and matter. We consider the broken degeneracy between the choices of matter Lagrangian for a perfect fluid,…

广义相对论与量子宇宙学 · 物理学 2026-01-26 Miguel Barroso Varela , Orfeu Bertolami

We derive a generic identity which holds for the metric (i.e. variational) energy-momentum tensor under any field transformation in any generally covariant classical Lagrangian field theory. The identity determines the conditions under…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Guido Magnano , Leszek M. Sokolowski

We study the characteristic structure of the Einstein-Hilbert (EH) action when modifications of the form of $R^2,~ R_{\mu\nu}^2$, $R_{\mu\nu\rho\sigma}^2$ and $C_{\mu\nu\rho\sigma}^2$ are included. We show that when these quadratic terms…

广义相对论与量子宇宙学 · 物理学 2019-06-07 Yotam Sherf

We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term…

广义相对论与量子宇宙学 · 物理学 2018-07-25 Daisuke Yoshida , Robert H. Brandenberger

Gravitational lensing is investigated in the weak field limit of fourth order gravity in which the Lagrangian of the gravitational field is modified by replacing the Ricci scalar curvature R with an analytical expression $f(R)$. Considering…

天体物理学 · 物理学 2009-11-11 S. Capozziello , V. F. Cardone , A. Troisi

We establish a formal connection between the {\bf K}-essence emergent gravity scenario and generalizations of Vaidya spacetime. Choosing the {\bf K}-essence action to be of the Dirac-Born-Infeld variety, the physical spacetime to be a…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Goutam Manna , Parthasarathi Majumdar , Bivash Majumder

Seminar held at JINR, Dubna, May 15, 2012. In General Relativity, spacetime singularities raise a number of problems, both mathematical and physical. One can identify a class of singularities - with smooth but degenerate metric - which,…

广义相对论与量子宇宙学 · 物理学 2012-07-31 Ovidiu Cristinel Stoica

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

广义相对论与量子宇宙学 · 物理学 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

From modern observations of gravitational interactions, it can be inferred that there is much left to discover about the fundamental gravitational field. Since the advent of the General Theory of Relativity over a century ago, we have come…

广义相对论与量子宇宙学 · 物理学 2018-10-11 Ronald Gamble, , K. M. Flurchick

We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such background to an…

高能物理 - 理论 · 物理学 2009-10-31 S. M. Klishevich

A classical model for the extension of singular spacetime geometries across their singularities is presented. The regularization introduced by this model is based on the following observation. Among the geometries that satisfy Einstein's…

广义相对论与量子宇宙学 · 物理学 2010-11-23 Eran Rosenthal

Generalizations of gravitational Born-Infeld type lagrangians are investigated. Phenomenological constraints (reduction to Einstein-Hilbert action for small curvature, spin two ghost freedom and absence of Coulomb like Schwarschild…

广义相对论与量子宇宙学 · 物理学 2016-04-26 D. Comelli

The k-essence theories admit in general the superluminal propagation of the perturbations on classical backgrounds. We show that in spite of the superluminal propagation the causal paradoxes do not arise in these theories and in this…

高能物理 - 理论 · 物理学 2011-02-25 Eugeny Babichev , Viatcheslav Mukhanov , Alexander Vikman

This paper describes general relativity at the gravito-electromagnetic precision level as a constrained field theory. In this novel formulation, the gravity field comprises two auxiliary fields, a static matter field and a moving matter…

综合物理 · 物理学 2020-03-17 Sergio Giardino

A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical…

广义相对论与量子宇宙学 · 物理学 2009-11-04 S. N. Pandey , B. K. Sinha