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We present a detailed account of the isomonodromic quantization of dimensionally reduced Einstein gravity with two commuting Killing vectors. This theory constitutes an integrable ``midi-superspace" version of quantum gravity with…

高能物理 - 理论 · 物理学 2009-10-30 D. Korotkin , H. Nicolai

We show that, in four-dimensional spacetimes with an arbitrary Einstein metric, with and without a cosmological constant, perturbative dynamical degrees of freedom in generic quadratic-curvature gravity can be decoupled into massless and…

广义相对论与量子宇宙学 · 物理学 2019-07-01 Yuki Niiyama , Yuya Nakamura , Ryosuke Zaimokuya , Yu Furuya , Yuuiti Sendouda

The finiteness requirement for Euclidean Einstein gravity is shown to be so stringent that only the flat metric is allowed. We examine counterterms in 4D and 6D Ricci-flat manifolds from general invariance arguments.

高能物理 - 理论 · 物理学 2016-09-06 G. W. Gibbons , S. Ichinose

We construct a new gravitational action which includes cubic curvature interactions and which provides a useful toy model for the holographic study of a three parameter family of four- and higher-dimensional CFT's. We also investigate the…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Robert C. Myers , Brandon Robinson

In this paper we study the Generalized Minimal Massive Gravity (GMMG) in asymptotically $AdS_3$ background. The generalized minimal massive gravity theory is realized by adding the CS deformation term, the higher derivative deformation…

高能物理 - 理论 · 物理学 2015-12-09 M. R. Setare

We study the critical gravity in two dimensional AdS (AdS$_2$) spacetimes, which was obtained from the cosmological topologically massive gravity (TMG$_\Lambda$) in three dimensions by using the Kaluza-Klein dimensional reduction. We…

高能物理 - 理论 · 物理学 2013-05-29 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

In three dimensions, there exist modifications of Einstein's gravity akin to the topologically massive gravity that describe massive gravitons about maximally symmetric backgrounds. These theories are built on the three-dimensional version…

高能物理 - 理论 · 物理学 2018-11-20 Gokhan Alkac , Mustafa Tek , Bayram Tekin

We present a new cubic theory of gravity in five dimensions which has second order traced field equations, analogous to BHT new massive gravity in three dimensions. Moreover, for static spherically symmetric spacetimes all the field…

广义相对论与量子宇宙学 · 物理学 2011-01-27 Julio Oliva , Sourya Ray

No theory of four-dimensional quantum gravity exists as yet. In this situation the two-dimensional theory, which can be analyzed by conventional field-theoretical methods, can serve as a toy model for studying some aspects of quantum…

高能物理 - 理论 · 物理学 2015-06-26 J. Ambjorn , J. L. Nielsen , J. Rolf , R. Loll

By rescaling the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow \alpha/(D-4)$ and considering the $D \rightarrow 4$ limit, the GB gravity gives rise to nontrivial modification of general relativity in four dimensions. In this work,…

广义相对论与量子宇宙学 · 物理学 2020-04-14 Shou-Long Li , Puxun Wu , Hongwei Yu

In this work we show that Einstein gravity in four dimensions can be consistently obtained from the compactification of a generic higher curvature Lovelock theory in dimension $D=4+p$, being $p\geq1$. The compactification is performed on a…

高能物理 - 理论 · 物理学 2021-08-18 Fabrizio Canfora , Adolfo Cisterna , Sebastian Fuenzalida , Carla Henriquez-Baez , Julio Oliva

We show that the linearization of all exact solutions of classical chiral gravity around the AdS3 vacuum have positive energy. Non-chiral and negative-energy solutions of the linearized equations are infrared divergent at second order, and…

高能物理 - 理论 · 物理学 2010-04-06 Alexander Maloney , Wei Song , Andrew Strominger

It is well known that the vacuum in the Einstein gravity, which is linear in the Riemann curvature, is trivial in the critical (2+1=3) dimension because vacuum solution is flat. It turns out that this is true in general for any odd critical…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Naresh Dadhich , Sushant G. Ghosh , Sanjay Jhingan

Einstein Gravity in 2+1 dimensions arises as a consequence of the equations of motion of a gauge model in an external metric. Newton's constant appears as an order parameter of a spontaneously broken discrete symmetry. Matter is coupled in…

高能物理 - 理论 · 物理学 2007-05-23 R. Brooks , D. Cangemi , M. Crescimanno

Linearized Einstein gravity (with possibly nonzero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with Dimock's treatment of electromagnetism [Rev. Math. Phys. 4 (1992) 223--233]. To…

数学物理 · 物理学 2013-09-13 Christopher J. Fewster , David S. Hunt

This research is an extension of the author's article \cite{zar}, in which conformally invariant generalization of string theory was suggested to higher-dimensional objects. Special cases of the proposed theory are Einstein's theory of…

广义相对论与量子宇宙学 · 物理学 2014-10-13 Farkhat Zaripov

We exploit an interpretation of gravity as the symmetry broken phase of a de Sitter gauge theory to construct new solutions to the first order field equations. The new solutions are constructed by performing large $Spin(4,1)$ gauge…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Andrew Randono

We investigate the existence of Taub-NUT/bolt solutions in Gauss-Bonnet gravity and obtain the general form of these solutions in $d$ dimensions. We find that for all non-extremal NUT solutions of Einstein gravity having no curvature…

高能物理 - 理论 · 物理学 2009-11-11 M. H. Dehghani , R. B. Mann

We look for and analyze in some details some exact solutions of Einstein-Maxwell-dilaton gravity with one or two Liouville-type dilaton potential(s) in an arbitrary dimension. Such a theory could be obtained by dimensionally reducing…

高能物理 - 理论 · 物理学 2014-11-18 Rong-Gen Cai , Anzhong Wang

We consider gravity theories in $4+N$ dimensions which are governed by the Lagrangian written as an extended Gauss-Bonnet density. We can find a naturally generalized Einstein gravity where the maximal symmetric compactification leads to…

广义相对论与量子宇宙学 · 物理学 2012-05-03 Kiyoshi Shiraishi