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Related papers: More on New Massive Gravity: Exact Solutions

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Using different types of embeddings of equations of motion we investigate the existence of generalizations of the "New Massive Gravity" (NMG) model with the same particle content (massive gravitons). By using the Weyl symmetry as a guiding…

High Energy Physics - Theory · Physics 2016-07-20 D. Dalmazi , E. L. Mendonça

We study linearized equations of motion of the newly proposed three dimensional gravity, known as minimal massive gravity, using its metric formulation. We observe that the resultant linearized equations are exactly the same as that of TMG…

High Energy Physics - Theory · Physics 2014-12-09 Mohsen Alishahiha , Mohammad M. Qaemmaqami , Ali Naseh , Ahmad Shirzad

We construct new relativistic linear differential equation in $d$ dimensions generalizing Dirac equation by employing the Clifford algebra of the cubic polynomial associated to Klein-Gordon operator multiplied by the mass parameter. Unlike…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Plyushchay , Michel Rausch de Traubenberg

We present a top-down construction of a three-dimensional non-local theory of massive gravity. This "Non-Local Massive Gravity" (NLMG) is obtained as the gravitational theory induced by Einstein gravity on a brane inserted in Anti-de Sitter…

High Energy Physics - Theory · Physics 2024-05-09 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar

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

We consider a D-dimensional model of gravity with non-linear "scalar fields" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field…

General Relativity and Quantum Cosmology · Physics 2015-06-04 A. A. Golubtsova , V. D. Ivashchuk

Metric-affine gravity (GL(4) gauge theory) in 4-dimensions is coupled to a spacetime Dirac source field using the isomorphisms of the Lie algebra gl(4) to the Clifford algebras Cl(3,1) and Cl(2,2). A simple transformation relates the…

General Relativity and Quantum Cosmology · Physics 2026-03-19 James T. Wheeler

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 present a new mass generation mechanism for linearized gravity in three spacetime dimensions, which consists of a lower-dimensional Chern-Simons-like term added to the invariant action. The propagators of the gauge fixed massive action…

High Energy Physics - Theory · Physics 2025-08-20 Erica Bertolini , Edoardo Lui , Nicola Maggiore

The quadratic curvature lagrangians having metric field equations with second order trace are constructed relative to an orthonormal coframe. In $n>4$ dimensions, pure quadratic curvature lagrangian having second order trace constructed…

General Relativity and Quantum Cosmology · Physics 2012-07-17 Ahmet Baykal

Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion,…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Eric Bergshoeff , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

We study a theory of gravity of the form $f(\mathcal{G})$ where $\mathcal{G}$ is the Gauss-Bonnet topological invariant without considering the standard Einstein-Hilbert term as common in the literature, in arbitrary $(d+1)$ dimensions. The…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Francesco Bajardi , Konstantinos F. Dialektopoulos , Salvatore Capozziello

We present an action for minimal massive gravity (MMG) in three dimensions in terms of a dreibein and an independent spin connection. Furthermore, the construction provides an action principle for an infinite family of so-called third-way…

High Energy Physics - Theory · Physics 2024-11-11 Nihat Sadik Deger , Marc Geiller , Jan Rosseel , Henning Samtleben

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these…

High Energy Physics - Theory · Physics 2021-06-16 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo , C. Zwikel

At the classical level, chiral gravity may be constructed as a consistent truncation of a larger theory called log gravity by requiring that left-moving charges vanish. In turn, log gravity is the limit of topologically massive gravity…

High Energy Physics - Theory · Physics 2010-03-19 Tomas Andrade , Donald Marolf

We study the classical solutions of three dimensional topologically massive gravity (TMG) and its higher spin generalization, in the first order formulation. The action of higher spin TMG has been proposed in arXiv:1110.5113 to be of a…

High Energy Physics - Theory · Physics 2015-06-04 Bin Chen , Jiang Long , Jian-dong Zhang

We look at the generalisation of topologically massive gravity (TMG) to higher spins, specifically spin-3. We find a special "chiral" point for the spin-three, analogous to the spin-two example, which actually coincides with the usual…

High Energy Physics - Theory · Physics 2015-05-28 Arjun Bagchi , Shailesh Lal , Arunabha Saha , Bindusar Sahoo

In this paper, we investigate a three-dimensional gravitational model known as Minimal Massive Gravity (MMG), which includes an auxiliary field, using the covariant phase space method. Our analysis reveals the presence of three gauge…

High Energy Physics - Theory · Physics 2025-07-24 Kang Liu , Xiao-Mei Kuang

We derive the field equations for topologically massive gravity coupled with the most general quadratic curvature terms using the language of exterior differential forms and a first order constrained variational principle. We find…

General Relativity and Quantum Cosmology · Physics 2016-09-28 T. Dereli , C. Yetismisoglu