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Related papers: Kundt solutions of Minimal Massive 3D Gravity

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We construct supersymmetric solutions of three dimensional N = (1,1) General Massive Supergravity (GMG). Solutions with a null Killing vector are in general pp-waves. We identify those that appear at critical points of the model some of…

High Energy Physics - Theory · Physics 2018-06-06 N. S. Deger , Z. Nazari , O. Sarioglu

In this work, we present a review of Energy-Momentum Squared Gravity (EMSG) -- more specifically, $f(R,T_{\mu\nu}T^{\mu\nu})$ gravity, where $R$ represents the Ricci scalar and $T_{\mu\nu}$ denotes the energy-momentum tensor. The inclusion…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Ricardo A. C. Cipriano , Nailya Ganiyeva , Tiberiu Harko , Francisco S. N. Lobo , Miguel A. S. Pinto , João Luís Rosa

We present a three-dimensional gravitational Born-Infeld theory which reduces to the recently found New Massive Gravity (NMG) at the quadratic level in the small curvature expansion and at the cubic order reproduces the deformation of NMG…

High Energy Physics - Theory · Physics 2011-01-06 Ibrahim Gullu , Tahsin Cagri Sisman , Bayram Tekin

Exact solutions with torsion in Einstein-Gauss-Bonnet gravity are derived. These solutions have a cross product structure of two constant curvature manifolds. The equations of motion give a relation for the coupling constants of the theory…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Canfora , A. Giacomini , S. Willison

We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth…

High Energy Physics - Theory · Physics 2013-05-29 Tony Gherghetta , Marco Peloso , Erich Poppitz

In this work, we examine a family of $pp$-wave solutions of Minimal Massive 3d Gravity (MMG) minimally coupled with the Maxwell-Chern-Simons theory. An elaborate investigation of the field equations shows that the theory admits $pp$-wave…

High Energy Physics - Theory · Physics 2022-08-02 Hakan Cebeci , Tekin Dereli , Seçil Şentorun

We investigate supersymmetric solutions of minimal gauged supergravity in five dimensions, in the timelike class. We propose an ansatz based on a four-dimensional local orthotoric Kaehler metric and reduce the problem to a single…

High Energy Physics - Theory · Physics 2016-06-15 Davide Cassani , Jakob Lorenzen , Dario Martelli

It is of interest to study supergravity solutions preserving a non-minimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the spacetime admits a Killing spinor and hence a null or timelike…

Differential Geometry · Mathematics 2018-04-23 A. Coley , D. McNutt , N. Pelavas

We prove existence and multiplicity of Cantor families of small amplitude time periodic solutions of completely resonant Klein-Gordon equations on the sphere $\mathbb{S}^3$ with quadratic, cubic and quintic nonlinearity, regarded as toy…

Analysis of PDEs · Mathematics 2023-08-11 Massimiliano Berti , Beatrice Langella , Diego Silimbani

We construct exact non-perturbative massive solutions in the gravitational Higgs mechanism. They confirm the conclusions of arXiv:1102.4991, which are based on non-perturbative Hamiltonian analysis for the relevant metric degrees of…

High Energy Physics - Theory · Physics 2020-05-13 Zurab Kakushadze

We formulate Eddington's affine gravity in a spacetime which is immersed in a larger eight dimensional space endowed with a hypercomplex structure. The dynamical equation of the first immersed Ricci-type tensor leads to gravitational field…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Hemza Azri

We consider deformations of metrics in a given conformal class such that the smallest eigenvalue of the Ricci tensor to be a constant. It is related to the notion of minimal volumes in comparison geometry. Such a metric with the smallest…

Differential Geometry · Mathematics 2007-05-23 Pengfei Guan , Guofang Wang

Besides black holes, the phase space of three-dimensional massive gravity about Warped-Anti de Sitter (WAdS) space contains solutions that decay exponentially in time. They describe evanescent graviton configurations that, while governed by…

High Energy Physics - Theory · Physics 2016-01-13 Gaston Giribet , Yerko Vasquez

Asymptotically warped AdS spacetimes in topologically massive gravity with negative cosmological constant are considered in the case of spacelike stretched warping, where black holes have been shown to exist. We provide a set of asymptotic…

High Energy Physics - Theory · Physics 2015-05-30 Marc Henneaux , Cristian Martinez , Ricardo Troncoso

In this paper we show that warped AdS$_{3}$ black hole spacetime is a solution of the generalized minimal massive gravity (GMMG) and introduce suitable boundary conditions for asymptotically warped AdS$_{3}$ spacetimes. Then we find the…

High Energy Physics - Theory · Physics 2017-05-31 M. R. Setare , H. Adami

We employ the massive gravity approach to stress-tensor deformations in a variety of scenarios, obtaining novel results and establishing new connections. Starting with perturbation theory, we show that the addition of $\text{tr}…

High Energy Physics - Theory · Physics 2025-12-30 Alexia Nix , Evangelos Tsolakidis

A special class of higher curvature theories of gravity, Ricci Cubic Gravity (RCG), in general d dimensional space-time has been investigated in this paper. We have used two different approaches, the linearized equations of motion and…

High Energy Physics - Theory · Physics 2017-09-13 Ahmad Ghodsi , Farzaneh Najafi

Chiral gravity admits asymptotically AdS3 solutions that are not locally equivalent to AdS3; meaning that solutions do exist which, while obeying the strong boundary conditions usually imposed in General Relativity, happen not to be…

High Energy Physics - Theory · Physics 2013-05-29 Gaston Giribet , Andrés Goya , Mauricio Leston

A unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was first found in the light-cone gauge. We construct a covariant form of the corresponding field equations in all orders,…

High Energy Physics - Theory · Physics 2023-03-07 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov , Richard Van Dongen

We propose a precise reformulation of 3d quantum gravity with negative cosmological constant in terms of a topological quantum field theory based on the quantization of the Teichm\"uller space of Riemann surfaces that we refer to as…

High Energy Physics - Theory · Physics 2023-10-11 Scott Collier , Lorenz Eberhardt , Mengyang Zhang