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We analyze (2+1)-dimensional gravity with a Chern--Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2,R) "vector" Chern-Simons terms,…

High Energy Physics - Theory · Physics 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

We propose a model of quantum gravity in arbitrary dimensions defined in terms of the BV quantization of a supersymmetric, infinite dimensional matrix model. This gives an (AKSZ-type) Chern-Simons theory with gauge algebra the space of…

High Energy Physics - Theory · Physics 2014-10-27 R. Bonezzi , O. Corradini , A. Waldron

It is shown that the Cotton tensor can describe the effects of gravity beyond general relativity. Any solution of the Einstein equations with or without the cosmological constant satisfies the field equations described by the Cotton tensor.…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Junpei Harada

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

Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or…

High Energy Physics - Theory · Physics 2010-04-06 Wei Li , Wei Song , Andrew Strominger

Dynamical Chern-Simons gravity (dCS) is a four-dimensional parity-violating extension of general relativity. Current models predict the effect of this extension to be negligible due to large decay constants $f$ close to the scale of grand…

High Energy Physics - Phenomenology · Physics 2022-07-13 Stephon Alexander , Cyril Creque-Sarbinowski

An alternative to usual dimensional reduction for gravity is analyzed, in the vielbein-spin connection formulation. Usual 4d Einstein gravity plus a topological term (the "Born-Infeld" Lagrangian for gravity), is shown to be obtained by a…

High Energy Physics - Theory · Physics 2007-05-23 Horatiu Nastase

We re-derive, compactly, a TMG decoupling theorem: source-free TMG separates into its Einstein and Cotton sectors for spaces with a hypersurface-orthogonal Killing vector, here concretely for circular symmetry. We can then generalize it to…

General Relativity and Quantum Cosmology · Physics 2010-04-22 S. Deser , J. Franklin

On vacuum spacetimes of general dimension, we study the linearized Einstein vacuum equations with a spatially compactly supported and (necessarily) divergence-free source. We prove that the vanishing of appropriate charges of the source,…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Peter Hintz

We construct generalized sets of asymptotic conditions for both three-dimensional Maxwell Chern-Simons gravity and a novel extension that incorporates torsion through a deformation of the Maxwell algebra. These boundary conditions include…

High Energy Physics - Theory · Physics 2026-02-25 Luis Avilés , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo

We study the effect of a (3+1)-dimensional Chern-Simons electrodynamics on the equations governing the dynamics of magnetized plasma and fields. In this model, the Chern-Simons (CS) part consists of a dynamical pseudo-scalar field whose…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Patrick Das Gupta

We consider a family of new Higgs-Chern-Simons (HCS) gravity models in 2n+1 dimensions (n=1,2,3). This provides a generalization of the (usual) gravitational Chern-Simons (CS) gravitaties resulting from non- Abelian CS densities in all odd…

High Energy Physics - Theory · Physics 2021-11-09 Eugen Radu , D. H. Tchrakian

Recently three dimensional Einstein gravity with AdS geometry has been studied, and pointed out to be described with Chern-Simons theory by Grumiller and Jackiw. While, non-commutative Chern-Simons theory is known to be equivalent to…

High Energy Physics - Theory · Physics 2009-10-26 Yuko Kobashi

The Chern-Simons (CS) gravity is a modified theory of Einstein's general relativity (GR). The CS theory arises from the low energy limit of string theory which involves anomaly correction to the Einstein-Hilbert action. The CS term is given…

General Relativity and Quantum Cosmology · Physics 2023-04-12 G. G. L. Nashed , Shin'ichi Nojiri

We study a gravity model in 2+1 dimensions, arising from a generalized Chern-Simons (CS) density we call a Higgs-Chern-Simons (HCS) density. This generalizes the construction of gravitational systems resulting from non-Abelian CS densities…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Eugen Radu , D. H. Tchrakian

A covariant modified gravity (MOG) is formulated by adding to general relativity two new degrees of freedom, a scalar field gravitational coupling strength $G= 1/\chi$ and a gravitational spin 1 vector field $\phi_\mu$. The $G$ is written…

General Relativity and Quantum Cosmology · Physics 2021-02-17 J. W. Moffat

In this PhD thesis, we investigate a wide class of three-dimensional massive gravity models and show how most of them (if not all) can be brought in a first-order, Chern-Simons-like, formulation. This allows for a general analysis of the…

High Energy Physics - Theory · Physics 2014-11-26 Wout Merbis

We study the topologically massive gravity with a negative cosmological constant on AdS$_2$ spacetimes by making use of dimensional reduction. For a constant dilaton, this two-dimensional model admits three AdS$_2$ vacuum solutions, which…

High Energy Physics - Theory · Physics 2009-06-19 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park

4D Einstein gravity coupled to scalars and abelian gauge fields in its 2-Killing vector reduction is shown to be quasi-renormalizable to all loop orders at the expense of introducing infinitely many essential couplings. The latter can be…

High Energy Physics - Theory · Physics 2015-06-26 M. Niedermaier

We study Chern-Simons (CS) gravity in the parameterized post-Newtonian (PPN) framework through a weak-field solution of the modified field equations. We find that CS gravity possesses the same PPN parameters as general relativity, except…

High Energy Physics - Theory · Physics 2008-11-26 Stephon Alexander , Nicolas Yunes