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Massive gravity can be described by adding to the Einstein-Hilbert action a function V of metric components. By using the Hamiltonian canonical analysis, we find the most general form of V such that five degrees of freedom propagate non…

High Energy Physics - Theory · Physics 2015-04-17 Denis Comelli , Fabrizio Nesti , Luigi Pilo

We construct explicit solutions for the linearized massive and massless spin-2, vector and scalar modes around the AdS spacetimes in diverse dimensions. These modes may arise in extended (super)gravities with higher curvature terms in…

High Energy Physics - Theory · Physics 2015-05-30 Yi-Xin Chen , H. Lu , Kai-Nan Shao

We provide a systematic and updated discussion of a research line carried out by our group over the last few years, in which gravity is modified at cosmological distances by the introduction of nonlocal terms, assumed to emerge at an…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Enis Belgacem , Yves Dirian , Andreas Finke , Stefano Foffa , Michele Maggiore

We consider the problem of critical gravitational collapse of a scalar field in 2+1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure,…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Eric W. Hirschmann , Anzhong Wang , Yumei Wu

We consider (1+1)-dimensional dilaton gravity with a reflecting dynamical boundary. The boundary cuts off the region of strong coupling and makes our model causally similar to the spherically-symmetric sector of multidimensional gravity. We…

High Energy Physics - Theory · Physics 2017-04-25 Maxim Fitkevich , Dmitry Levkov , Yegor Zenkevich

We consider the higher order gravity with dilaton and with the leading string theory corrections taken into account. The domain wall type solutions are investigated for arbitrary number of space-time dimensions. The explicit formulae for…

High Energy Physics - Theory · Physics 2009-11-07 A. Jakobek , K. A. Meissner , M. Olechowski

One of the most important achievements in general relativity has been discovery of the $(2+1)$-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [Phys. Rev. Lett. {\bf69}, 1849 (1992)]. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Ahmad Sheykhi

The special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the Breitenlohner-Freedman bounds and their ratio is integral (``resonant scalars'') are studied in the…

High Energy Physics - Theory · Physics 2009-11-11 M. Banados , A. Schwimmer , S. Theisen

A generalization to the theory of massive gravity is presented which includes three dynamical metrics. It is shown that at the linear level, the theory predicts a massless spin-2 field which is decoupled from the other two gravitons which…

High Energy Physics - Theory · Physics 2013-08-13 Nima Khosravi , Nafiseh Rahmanpour , Hamid Reza Sepangi , Shahab Shahidi

Critical gravity is a quadratic curvature gravity in four dimensions which is ghost-free around the AdS background. Constructing a Vaidya-type exact solution, we show that the area of a black hole defined by a future outer trapping horizon…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Hideki Maeda , Robert Svarc , Jiri Podolsky

We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-model with cosmological constant. The $\sigma$-model can be perceived as exterior configuration of a spontaneously-broken $SO(D-1)$ global…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Ilham Prasetyo , Handhika S. Ramadhan

We make a number of remarks on linearized gravity with cosmological constant in any dimension, which, we argue, can be useful in a quantum gravity framework. For this purpose we assume that the background space-time metric corresponds to…

General Relativity and Quantum Cosmology · Physics 2019-04-16 C. García-Quintero , A. Ortiz , J. A. Nieto

Earlier constructed a simple nonlocal de Sitter gravity model has a cosmological solution in a very good agreement with astronomical observations. In this paper, we continue the investigation of the nonlocal de Sitter model of gravity,…

General Relativity and Quantum Cosmology · Physics 2022-12-29 I. Dimitrijevic , B. Dragovich , Z. Rakic , J. Stankovic

It is shown that some regular solutions in 5D Kaluza-Klein gravity may have interesting properties if one from the parameters is in the Planck region. In this case the Kretschman metric invariant runs up to a maximal reachable value in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Vladimir Dzhunushaliev , Ratbay Myrzakulov

We study higher dimensional scenarios of massive bigravity, which is a very interesting extension of nonlinear massive gravity since its reference metric is assumed to be full dynamical. In particular, the Einstein field equations along…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tuan Q. Do

Relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source and their solutions are studied. The existence of certain relativistic critical tidal currents are thereby elucidated.…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Bahram Mashhoon

We report a three parameter family of solutions for dilaton gravity in 2+1 dimensions with finite mass and finite angular momentum. These solutions are obtained by a compactification of vacuum solutions in 3+1 dimensions with cylindrical…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Sharmanthie Fernando

From the group theoretical point of view, it is proved that the theory of linear conformal gravity should be written in terms of a tensor field of rank-3 and mixed symmetry [Binegar, et al, Phys. Rev. D 27, (1983) 2249]. We obtained such a…

General Relativity and Quantum Cosmology · Physics 2012-07-10 M. V. Takook , H. Pejhan , M. Reza Tanhayi

Bigravity is a natural arena where a non-linear theory of massive gravity can be formulated. If the interaction between the metrics $f$ and $g$ is non-derivative, spherically symmetric exact solutions can be found. At large distances from…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas , C. Deffayet , J. Garriga

We introduce a cosmological model in the framework of Generalised Massive Gravity. This theory is an extension of non-linear massive gravity with a broken translation symmetry in the St\"uckelberg space. In a recent work, we showed the…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Michael Kenna-Allison , A. Emir Gumrukcuoglu , Kazuya Koyama