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We study quantum gravity in $2+\epsilon$ dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the general covariance, the conformal invariance and the…

高能物理 - 理论 · 物理学 2011-08-17 T. Aida , Y. Kitazawa , H. Kawai , M. Ninomiya

The description of gravity in the form of an embedding theory is based on the hypothesis that our space-time is a four-dimensional surface in a flat ten-dimensional space. The choice of standard Einstein-Hilbert action leads in this case to…

广义相对论与量子宇宙学 · 物理学 2023-07-06 S. A. Paston , A. D. Kapustin

The critical scaling of the large-$N$ $O(N)$ model in higher dimensions using the exact renormalization group equations has been studied, motivated by the recently found non-trivial fixed point in $4<d<6$ dimensions with metastable critical…

高能物理 - 理论 · 物理学 2016-09-28 P. Mati

Hyperbolic vacuum black holes in Lovelock gravity theories of odd order $N$, in which $N$ denotes the order of higher-curvature corrections, are known to have the so-called isolated critical points with nonstandard critical exponents (as…

高能物理 - 理论 · 物理学 2023-01-11 Ali Dehghani , Mohammad Reza Setare

We examine higher-curvature gravities whose FLRW configurations are specified by equations of motion which are of second order in derivatives, just like in Einstein gravity. We name these theories Cosmological Gravities and initiate a…

广义相对论与量子宇宙学 · 物理学 2026-04-22 Javier Moreno , Ángel J. Murcia

General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically…

高能物理 - 理论 · 物理学 2009-10-28 Youngjai Kiem , Dahl Park

We explicitly calculate the induced gravity theory at the boundary of an asymptotically Anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the…

高能物理 - 理论 · 物理学 2008-11-26 Rodrigo Aros , Mauricio Romo , Nelson Zamorano

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

高能物理 - 理论 · 物理学 2010-04-05 N. E. J. Bjerrum-Bohr

We study several aspects of higher-order gravities constructed from general contractions of the Riemann tensor and the metric in arbitrary dimensions. First, we use the fast-linearization procedure presented in arXiv:1607.06463 to obtain…

高能物理 - 理论 · 物理学 2017-02-15 Pablo Bueno , Pablo A. Cano , Vincent S. Min , Manus R. Visser

Quasi-topological terms in gravity can be viewed as those that give no contribution to the equations of motion for a special subclass of metric ans\"atze. They therefore play no r\^ole in constructing these solutions, but can affect the…

高能物理 - 理论 · 物理学 2018-04-04 Yue-Zhou Li , Hai-Shan Liu , H. Lu

The four-dimensional gauge group of general relativity corresponds to arbitrary coordinate transformations on a four-manifold. Theories of gravity with a dynamical structure remarkably like Einstein's theory can be obtained on the basis of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Julian Barbour , Niall O Murchadha

We review the current status and prospects for the conformal invariant fourth order theory of gravity which has recently been advanced by Mannheim and Kazanas as a candidate alternative to the standard second order Einstein theory. We…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Philip D. Mannheim

The study of general two dimensional models of gravity allows to tackle basic questions of quantum gravity, bypassing important technical complications which make the treatment in higher dimensions difficult. As the physically important…

高能物理 - 理论 · 物理学 2010-11-19 D. Grumiller , W. Kummer , D. V. Vassilevich

We discuss Einstein gravity for a fluid consisting of particles interacting with an unidentified environment of some other particles whose dissipative effect is approximated by a diffusion. The environment is described by a time dependent…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Z. Haba

We analyze simplicial quantum gravity in four dimensions using the Regge approach. The existence of an entropy dominated phase with small negative curvature is investigated in detail. It turns out that observables of the system possess…

高能物理 - 格点 · 物理学 2009-10-22 W. Beirl , E. Gerstenmayer , H. Markum , J. Riedler

It is shown that Einstein gravity in four dimensions with small cosmological constant and small extra dimensions can be obtained by spontaneous compactification of Lovelock gravity in vacuum. Assuming that the extra dimensions are compact…

高能物理 - 理论 · 物理学 2009-09-09 Fabrizio Canfora , Alex Giacomini , Ricardo Troncoso , Steven Willison

Off-diagonal vacuum and nonvacuum configurations in Einstein gravity can mimic physical effects of modified gravitational theories of $f(R,T,R_{\mu \nu}T^{\mu \nu})$ type. To prove this statement, exact and approximate solutions are…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Emilio Elizalde , Sergiu I. Vacaru

Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the…

高能物理 - 理论 · 物理学 2013-10-18 Ali H. Chamseddine , Viatcheslav Mukhanov

The reduction of 4D Einstein gravity with $N$ minimal scalars leads to specific 2D dilaton gravity with dilaton coupled scalars. Applying s-wave and large $N$ approximation (where large $N$ quantum contribution due to dilaton itself is…

高能物理 - 理论 · 物理学 2009-09-17 Tomoko Kadoyoshi , Shin'ichi Nojiri , Sergei D. Odintsov

We have recently introduced a new and very simple action for three-dimensional massive gravity. This action is written in a first order formulation where the triad and the connection play a manifestly symmetric role, but where internal…

广义相对论与量子宇宙学 · 物理学 2019-10-02 Marc Geiller , Karim Noui