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We study the constraints on alternative theories of gravity that can be determined by multi-band observations of gravitational wave signals emitted from binary black hole coalescences. We focus on three types of General Relativity…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Giuseppe Gnocchi , Andrea Maselli , Tiziano Abdelsalhin , Nicola Giacobbo , Michela Mapelli

It is shown that conformal matter with $c_{\ssc L}\not=c_{\ssc R}$ can be consistently coupled to two-dimensional `frame' gravity. The theory is quantized, following David, and Distler and Kawai, using the derivation of their {\it ansatz}…

High Energy Physics - Theory · Physics 2009-10-22 R. C. Myers , V. Periwal

We distinguish between the notions of asymptotic causality and infrared causality for gravitational effective field theories, and show that the latter gives constraints consistent with gravitational positivity bounds. We re-explore the…

High Energy Physics - Theory · Physics 2022-03-23 Calvin Y. -R. Chen , Claudia de Rham , Aoibheann Margalit , Andrew J. Tolley

Pure three-dimensional gravity in anti-de Sitter space can be formulated as an SL(2,R) $\times $ SL(2,R) Chern-Simons theory, and the latter can be reduced to a WZW theory at the boundary. In this paper we show that AdS$_3$ gravity with…

High Energy Physics - Theory · Physics 2015-07-02 Luis Apolo , Bo Sundborg

The problem of interpreting a set of ${\cal W}$-algebra constraints constructed in terms of an arbitrarily twisted scalar field as the recursion relations of a topological theory is addressed. In this picture, the conventional models of…

High Energy Physics - Theory · Physics 2009-10-22 Timothy J. Hollowood , J. Luis Miramontes

We consider $f(R)$ gravity and Born-Infeld-Einstein (BIE) gravity in formulations where the metric and connection are treated independently and integrate out the metric to find the corresponding models solely in terms of the connection, the…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Ulf Lindström , Özgür Sarıoğlu

We introduce a new gauge and solution space for three-dimensional gravity. As its name Bondi-Weyl suggests, it leads to non-trivial Weyl charges, and uses Bondi-like coordinates to allow for an arbitrary cosmological constant and therefore…

High Energy Physics - Theory · Physics 2021-09-13 Marc Geiller , Christophe Goeller , Céline Zwikel

It has been recently shown that there is a particular combination of conformal invariants in six dimensions which accepts a generic Einstein space as a solution. The Lagrangian of this Conformal Gravity theory -- originally found by Lu,…

High Energy Physics - Theory · Physics 2021-08-04 Giorgos Anastasiou , Ignacio J. Araya , Cristobal Corral , Rodrigo Olea

It is well known that the standard transport equations violate causality when gradients are large or when temporal variations are rapid. We derive a modified set of transport equations that satisfy causality. These equations are obtained…

Astrophysics · Physics 2009-10-22 Ramesh Narayan , Abraham Loeb , Pawan Kumar

The goal of this paper is to study weakly Einstein critical metrics of the volume functional on a compact manifold $M$ with smooth boundary $\partial M$. Here, we will give the complete classification for an $n$-dimensional, $n=3$ or $4,$…

Differential Geometry · Mathematics 2018-09-28 H. Baltazar , A. Da Silva , F. Oliveira

It is shown that the AdS_3 gravity action with boundary terms is non invariant under diffeomorphisms and that its Lie derivative has the form of the Weyl anomaly in two dimensions. This variation is compensated by a Weyl transformation of…

High Energy Physics - Theory · Physics 2007-05-23 Karin Bautier

Using the non-relativistic hydrodynamic expansion, we solve equations of motion for Einstein gravity and Gauss-Bonnet gravity with a negative cosmological constant within the region between a finite cutoff surface and a black brane horizon,…

High Energy Physics - Theory · Physics 2011-07-21 Rong-Gen Cai , Li Li , Yun-Long Zhang

In this paper we give an extensive description of Weyl quadratic gravity as the gauge theory of the Weyl group. The previously discovered (vectorial) torsion/non-metricity equivalence is shown to be built-in as it corresponds to a…

High Energy Physics - Theory · Physics 2025-02-25 Cezar Condeescu , Andrei Micu

Recent gravitational wave observations allow us to probe gravity in the strong and dynamical field regime. In this paper, we focus on testing Einstein-dilaton Gauss-Bonnet gravity which is motivated by string theory. In particular, we use…

General Relativity and Quantum Cosmology · Physics 2023-08-03 Zhenwei Lyu , Nan Jiang , Kent Yagi

It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is…

High Energy Physics - Theory · Physics 2021-07-28 Chong-Sun Chu

We describe a new class of boundary conditions for AdS_{d+1} under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms in the bulk gravitational action…

High Energy Physics - Theory · Physics 2008-11-26 Geoffrey Compère , Don Marolf

We show that solutions of the Seiberg-Witten equations lead to non-trivial lower bounds for the L2-norm of the Weyl curvature of a compact Riemannian 4-manifold. These estimates are then used to derive new obstructions to the existence of…

Differential Geometry · Mathematics 2007-05-23 Claude LeBrun

Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip

The prospect of detecting/constraining deviations from general relativity by studying gravitational waves (GWs) from merging black holes has been one of the primary motivations of GW interferometers like LIGO/Virgo. Within pure gravity, the…

High Energy Physics - Theory · Physics 2025-11-27 Alexander Cassem , Mark P. Hertzberg

In this paper, $f(R,\lm, T)$ gravity is considered. It is a generalization of the theories $f(R,T)$ and $f(R, \lm)$. This modified theory of gravity exhibits strong geometry-matter coupling. The problem of causality and its violation is…

General Relativity and Quantum Cosmology · Physics 2024-11-19 J. S. Gonçalves , A. F. Santos