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We present a bi-metric theory of gravity containing a length scale of galactic size. For distances less than this scale the theory satisfies the standard tests of General Relativity. For distances greater than this scale the theory yields…

Astrophysics · Physics 2009-10-31 I. T. Drummond

Within the context of Newton's theory of gravitation, restricted to point-like test particles and central bodies, stable circular orbits in ordinary space are related to stable circular paths on a massless, unmovable, undeformable…

Classical Physics · Physics 2017-08-02 R. Caimmi

The gravitational-wave event GW170817 from a binary neutron star merger together with the electromagnetic counterpart showed that the speed of gravitational waves $c_t$ is very close to that of light for the redshift $z<0.009$. This places…

General Relativity and Quantum Cosmology · Physics 2019-05-07 Ryotaro Kase , Shinji Tsujikawa

Phenomenological functions $\Sigma$ and $\mu$ (also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$) are commonly used to parameterize possible modifications of the Poisson equation relating the matter density contrast to the lensing and…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 Levon Pogosian , Alessandra Silvestri

We investigate gravitational waves with an arbitrary potential within the framework of linearized Horndeski theory. We show that the minimum of the potential can play the role of an effective cosmological constant in this theory, which is…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Hatice Özer , Özgür Delice

I present a model of discrete gravity, which is formulated in terms of a topological gauge theory with defects. The theory has no local degrees of freedom and the gravitational field is trivial everywhere except at a number of colliding…

General Relativity and Quantum Cosmology · Physics 2017-06-05 Wolfgang Wieland

In this lecture I address the issue of possible large distance modification of gravity and its observational consequences. Although, for the illustrative purposes we focus on a particular simple generally-covariant example, our conclusions…

High Energy Physics - Theory · Physics 2007-05-23 Gia Dvali

Modified Newtonian dynamics (MOND) is an alternative theory of gravity that aims to explain large-scale dynamics without recourse to any form of dark matter. However the theory is incomplete, lacking a relativistic counterpart, and so makes…

Astrophysics · Physics 2008-11-26 Daniel J. Mortlock , Edwin L. Turner

A solution of the old problem raised by Tolman, Ehrenfest, Podolsky and Wheeler, concerning the lack of attraction of two light pencils "moving parallel", is proposed, considering that the light can be source of nonlinear gravitational…

General Relativity and Quantum Cosmology · Physics 2011-09-23 G. Sparano , G. Vilasi , S. Vilasi

We analyze the theories of gravity modified by a generic nonderivative potential built from the metric, under the minimal requirement of unbroken spatial rotations. Using the canonical analysis, we classify the potentials $V$ according to…

High Energy Physics - Theory · Physics 2015-06-22 Denis Comelli , Fabrizio Nesti , Luigi Pilo

A theory of gravitation is presented. This theory does not relate gravitation to curvature of space-time. It explains the three standard results of general relativity in agreement with observations and suggests new experiments.

General Physics · Physics 2007-05-23 Irshadullah Khan

Statements about relativistic effects are often subtle. In this essay we will demonstrate that the three classical tests of general relativity, namely perihelion precession, deflection of light and gravitational redshift, are passed…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Dennis Hansen , Jelle Hartong , Niels A. Obers

The Beyond Horndeski class of alternative gravity theories allow for Self-accelerating de-Sitter cosmologies with no need for a cosmological constant. This makes them viable alternatives to $\Lambda$CDM and so testing their small-scale…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-08 Jeremy Sakstein , Harry Wilcox , David Bacon , Kazuya Koyama , Robert C. Nichol

Modifications of General Relativity generically contain additional degrees of freedom that can mediate forces between matter particles. One of the common manifestations of a fifth force in alternative gravity theories is a difference…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-22 Camille Bonvin , Levon Pogosian

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

Modified gravity theories have richer observational consequences for large-scale structure than conventional dark energy models, in that different observables are not described by a single growth factor even in the linear regime. We examine…

Astrophysics · Physics 2009-02-20 Bhuvnesh Jain , Pengjie Zhang

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We review recent developments in modified gravity theories, focusing on higher dimensional approaches and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bhuvnesh Jain , Justin Khoury

The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics. However, this model is valid only in the limit of infinitely high…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Marius A. Oancea , Jérémie Joudioux , I. Y. Dodin , D. E. Ruiz , Claudio F. Paganini , Lars Andersson

Modified gravitational wave propagation is a smoking gun of modifications of gravity at cosmological scales, and can be the most promising observable for testing such theories. The observation of gravitational waves (GW) in recent years has…

General Relativity and Quantum Cosmology · Physics 2022-03-18 Francesco Iacovelli , Andreas Finke , Stefano Foffa , Michele Maggiore , Michele Mancarella

In this work we analyze the propagation properties of gravitational waves in the hybrid metric-Palatini gravity theory. We introduce the scalar-tensor representation of the theory to make explicit the scalar degrees of freedom of the theory…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Cláudio Gomes , João Luís Rosa , Miguel A. S. Pinto
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