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We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

General Relativity and Quantum Cosmology · Physics 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

We present a generally-covariant and parity-invariant "zwei-dreibein" action for gravity in three space-time dimensions that propagates two massive spin-2 modes, unitarily, and we use Hamiltonian methods to confirm the absence of unphysical…

High Energy Physics - Theory · Physics 2013-12-18 Eric A. Bergshoeff , Sjoerd de Haan , Olaf Hohm , Wout Merbis , Paul K. Townsend

We present a Lorentzian version of three-dimensional noncommutative Einstein-AdS gravity by making use of the Chern-Simons formulation of pure gravity in 2+1 dimensions. The deformed action contains a real, symmetric metric and a real,…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , D. Klemm , L. Martucci , D. Zanon

We investigate a cosmological model resulting from a dimensional reduction of the higher-dimensional dRGT massive gravity. By using the Kaluza-Klein dimensional reduction, we obtain an effective four-dimensional massive gravity theory with…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Ratchaphat Nakarachinda , Pitayuth Wongjun

We study the physical propagating modes in a massive gravity model in curved cosmological backgrounds, which we have found as classical solutions in our previous paper. We show that, generically, there exist such the cosmological background…

High Energy Physics - Theory · Physics 2009-02-09 Masahiro Maeno , Ichiro Oda

In this thesis we study several problems in the context of AdS/CFT. The first is that of gravitational phase transitions between AdS and dS geometries in the Gauss-Bonnet theory of gravity. Such transitions are mediated by thermalons and do…

High Energy Physics - Theory · Physics 2017-12-08 J. Anibal Sierra-Garcia

AdS$_2$ plays an extremely important role in black-hole physics. We construct several infinite families of supergravity solutions that are asymptotically AdS$_2$ in the UV, and terminate in the IR with a cap that is singular in two…

High Energy Physics - Theory · Physics 2019-02-05 Iosif Bena , Pierre Heidmann , David Turton

We investigate propagations of graviton and additional scalar on four-dimensional anti de Sitter (AdS$_4$) space using $f(R)$ gravity models with external sources. It is shown that there is the van Dam-Veltman-Zakharov (vDVZ) discontinuity…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Yun Soo Myung

All global solutions of arbitrary topology of the most general 1+1 dimensional dilaton gravity models are obtained. We show that for a generic model there are globally smooth solutions on any non-compact 2-surface. The solution space is…

High Energy Physics - Theory · Physics 2016-09-06 T. Kloesch , T. Strobl

We study oscillons in a real scalar field theory in a (3+1)-dimensional AdS space with global coordinates. The initial configuration is given by a Gaussian shape with an appropriate core size as in Minkowski spacetime. The solution exhibits…

High Energy Physics - Theory · Physics 2025-05-20 Takaaki Ishii , Takaki Matsumoto , Kanta Nakano , Ryosuke Suda , Kentaroh Yoshida

We revisit the holographic description of the near horizon geometry of the BTZ black hole in AdS$_3$ gravity, with a gravitational Chern-Simons term included. After a dimensional reduction of the three dimensional theory, we use the…

High Energy Physics - Theory · Physics 2020-08-26 Alejandra Castro , Beatrix Mühlmann

We construct concrete counterterms of the Balasubramanian-Kraus type for Einstein-scalar theories with designer gravity boundary conditions in AdS$_{4}$, so that the total action is finite on-shell and satisfy a well defined variational…

High Energy Physics - Theory · Physics 2016-04-20 Andres Anabalon , Dumitru Astefanesei , David Choque , Cristian Martinez

The asymptotic solutions of cosmological topologically massive gravity (TMG) are analyzed for values of the mass parameter in the range $\mu\geq1$. At non-chiral values, a new term in the Fefferman-Graham expansion is needed to capture the…

High Energy Physics - Theory · Physics 2011-09-22 Colin Cunliff

We investigate the fermion condensate (FC) for a massive spinor field on background of the 5-dimensional locally anti-de Sitter (AdS) spacetime with a compact dimension and in the presence of a cosmic string carrying a magnetic flux. The FC…

High Energy Physics - Theory · Physics 2022-04-14 S. Bellucci , W. Oliveira dos Santos , E. R. Bezerra de Mello , A. A. Saharian

We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a…

High Energy Physics - Theory · Physics 2015-06-17 T. Ashok

Two-dimensional BF theory with infinitely many higher spin fields is proposed. It is interpreted as the AdS(2) higher spin gravity model describing a consistent interaction between local fields in AdS(2) space including gravitational field,…

High Energy Physics - Theory · Physics 2015-06-19 K. B. Alkalaev

We study the constraints coming from local causality requirement in various $2+1$ dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive…

High Energy Physics - Theory · Physics 2017-05-16 Jose D. Edelstein , Gaston Giribet , Carolina Gomez , Ercan Kilicarslan , Matias Leoni , Bayram Tekin

We show how some features of the AdS/CFT correspondence for AdS_3 can easily be understood via standard world-sheet methods and 2d gravity like scaling arguments. To do this, we propose a stringy way for perturbing two-dimensional CFT's…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Andreev

We solve Einstein's equations with negative cosmological constant in $2+1$ dimensions in the Hamiltonian formulation. The spacetime has the topology of $\Sigma \times \mathbf{R}$ where $\mathbf{R}$ corresponds to the time direction and…

High Energy Physics - Theory · Physics 2025-10-28 Anurag Kaushal , Naveen S. Prabhakar , Spenta R. Wadia

We calculate the running of the three coupling constants in cosmological, topologically massive 3d gravity. We find that \nu, the dimensionless coefficient of the Chern-Simons term, has vanishing beta function. The flow of the cosmological…

High Energy Physics - Theory · Physics 2015-05-18 R. Percacci , E. Sezgin