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We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest…

高能物理 - 理论 · 物理学 2008-11-26 A. H. Chamseddine , G. Felder , J. Fröhlich

In the context of $f(R)$ theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. Using a completely general procedure, we find the exact fourth-order differential equation for the matter…

天体物理学 · 物理学 2008-11-26 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

Theories with massive gravitons have peculiarity called the van Dam-Veltman-Zakharov discontinuity in that the massive theory propagator does not go to the massless graviton propagator in the zero graviton mass limit. This results in large…

广义相对论与量子宇宙学 · 物理学 2022-03-11 Tanmay Kumar Poddar , Subhendra Mohanty , Soumya Jana

We construct the scalar and graviton propagator in quasi de Sitter space up to first order in the slow roll parameter $\epsilon\equiv -\dot{H}/H^2$. After a rescaling, the propagators are similar to those in de Sitter space with an…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Tomas Janssen , Tomislav Prokopec

Polarization is a prominent feature of gravitational wave observations and can be used to distinguish between different modified gravity theories. Compared to General Relativity, f(R) gravity exhibits an additional polarization originating…

广义相对论与量子宇宙学 · 物理学 2025-07-01 Xin-Dong Du , Peng-Cheng Li

We prove that in anti de Sitter space, there is no van Dam-Veltman-Zakharov discontinuity in the graviton propagator. Here we obtain the mass term of $M^2\propto \Lambda^2$ from the Gauss-Bonnet term, which is a ghost-free one. The…

高能物理 - 理论 · 物理学 2007-05-23 Y. S. Myung

The observed accelerated cosmic expansion can be a signature of fourth\,-\,order gravity theories, where the acceleration of the Universe is a consequence of departures from Einstein General Relativity, rather than the sign of the existence…

宇宙学与河外天体物理 · 物理学 2015-06-03 Vincenzo F. Cardone , Stefano Camera , Antonaldo Diaferio

In this note we study the linear dynamics of scalar graviton in a de Sitter background in the infrared limit of the healthy extension of Ho\v{r}ava-Lifshitz gravity with the dynamical critical exponent $z=3$. Both our analytical and…

高能物理 - 理论 · 物理学 2011-04-22 Rong-Gen Cai , Bin Hu , Hong-Bo Zhang

Scalar-tensor gravity is the simplest and best understood modification of general relativity, consisting of a real scalar field coupled directly to the Ricci scalar curvature. Models of this type have self-accelerating solutions. In an…

天体物理学 · 物理学 2009-09-17 Gabriela Barenboim , Joseph Lykken

We derive the Hamiltonian describing Pauli-Fierz massive gravitons on a flat Friedmann-Robertson-Walker (FRW) cosmology in a particular, non-generic effective field theory. The cosmological evolution is driven by a scalar field Phi with an…

高能物理 - 理论 · 物理学 2010-04-30 Luca Grisa , Lorenzo Sorbo

In the context of f(R) theories of gravity, we study the cosmological evolution of scalar perturbations by using a completely general procedure. We find that the exact fourth-order differential equation for the matter density perturbations…

天体物理学 · 物理学 2015-05-13 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

We study the cosmological perturbations of the recently proposed extension of non-linear massive gravity with a scalar field. The added scalar field ensures a new symmetry on the field space of the theory. The theory has the property of…

广义相对论与量子宇宙学 · 物理学 2013-07-12 Zahra Haghani , Hamid Reza Sepangi , Shahab Shahidi

Modified gravity theories on cosmic scales have three key deviations from general relativity. They can cause cosmic acceleration without a physical, highly negative pressure fluid, can cause a gravitational slip between the two metric…

宇宙学与河外天体物理 · 物理学 2014-11-04 Eric V. Linder

We extend the usual vacuum Metric-Affine $f(R)$ Gravity by supplementing it with all parity even quadratic invariants in torsion and non-metricity. As we show explicitly this supplementation drastically changes the status of the Theory…

广义相对论与量子宇宙学 · 物理学 2024-09-19 Damianos Iosifidis

We develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

广义相对论与量子宇宙学 · 物理学 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

We study gravitational waves in viable $f(R)$ theories under a non-zero background curvature. In general, an $f(R)$ theory contains an extra scalar degree of freedom corresponding to a massive scalar mode of gravitational wave. For viable…

宇宙学与河外天体物理 · 物理学 2015-05-28 Louis Yang , Chung-Chi Lee , Chao-Qiang Geng

2+1-dimensional Anti-deSitter gravity is quantized in the presence of an external scalar field. We find that the coupling between the scalar field and gravity is equivalently described by a perturbed conformal field theory at the boundary…

高能物理 - 理论 · 物理学 2009-10-31 Roberto Emparan , Ivo Sachs

In this article, we investigate the mathematical relationship between a (3+1) dimensional gravity model inside Anti-de Sitter space $\rm AdS_4$, and a (2+1) dimensional superconducting system on the asymptotically flat boundary of $\rm…

高能物理 - 理论 · 物理学 2016-11-03 W. M. Wu , M. P. Pierpoint , D. M. Forrester , F. V. Kusmartsev

We discuss the global properties of static, spherically symmetric configurations of a self-gravitating real scalar field $\phi$ in general relativity (GR), scalar-tensor theories (STT) and high-order gravity ($L=f(R)$) in various…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Kirill A. Bronnikov

We present a reconstruction technique for models of $f(R)$ gravity from the Chaplygin scalar field in flat de Sitter spacetimes. Exploiting the equivalence between $f(R)$ gravity and scalar-tensor theories, and treating the Chaplygin gas as…

广义相对论与量子宇宙学 · 物理学 2018-02-14 Heba Sami , Neo Namane , Joseph Ntahompagaze , Maye Elmardi , Amare Abebe