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We perform the Dirac hamiltonian analysis of a four-dimensional gauge theory of gravity with an action of topological type, which generalizes some well-known two-dimensional models. We show that, in contrast with the two-dimensional case,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Mignemi

We study the generalized Chaplygin gas (GCG) scenario in a modified gravity approach. That is, we impose that our universe has a pure dust configuration, and allow for a modification of gravity that yields a GCG specific scale factor…

Astrophysics · Physics 2009-11-10 T. Barreiro , A. A. Sen

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Ait Moussa , G. Clement , H. Guennoune , C. Leygnac

We propose a generalization of Chiral Gravity, which follows from considering a Chern-Simons action for the spin connection with anti-symmetric contorsion. The theory corresponds to Topologically Massive Gravity at the chiral point…

High Energy Physics - Theory · Physics 2015-06-30 Simón del Pino , Gaston Giribet , Adolfo Toloza , Jorge Zanelli

We extend finite dimensional Chern-Simons theory to certain infinite dimensional principal bundles with connections, in particular to the frame bundle $FLM\to LM$ over the loop space of a Riemannian manifold $M$. Chern-Simons forms are…

Differential Geometry · Mathematics 2007-05-23 Steven Rosenberg , Fabian Torres-Ardila

We investigate a slowly rotating black hole in four-dimensional extended Chern-Simons modified gravity. We obtain an approximate solution that reduces to the Kerr solution when a coupling constant vanishes. The Chern-Simons correction…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Kohkichi Konno , Toyoki Matsuyama , Satoshi Tanda

Despite the nice geometrical properties of higher dimensional Chern-Simons (CS) supergravity theories these actions suffer from one major drawback, namely, their connection with the real world. After some quick remarks on three-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Banados

In this paper, we deal with the $f(R,Q)$ gravity whose action depends, besides of the scalar curvature $R$, on the higher-derivative invariant $Q=R_{\mu\nu}R^{\mu\nu}$. In order to compare this theory with the usual General Relativity (GR),…

High Energy Physics - Theory · Physics 2017-09-14 F. S. Gama , J. R. Nascimento , A. Yu. Petrov , P. J. Porfirio , A. F. Santos

Self-dual solitons of Chern-Simons Higgs theory are examined in curved spacetime. We derive duality transformation of the Einstein Chern-Simons Higgs theory within path integral formalism and study various aspects of dual formulation…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Bok Keun Chung , Jin-Mo Chung , Seongtag Kim , Yoonbai Kim

We discuss some interesting holographical aspects of three-dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4, R) \times SL(4, R) Chern-Simons theory. Using a recently found technique, we…

High Energy Physics - Theory · Physics 2015-06-03 H. S. Tan

We present an extension of general relativity in which the cosmological constant becomes dynamical and turns out to be conjugate to the Chern-Simons invariant of the Ashtekar connection on a spatial slicing. The latter has been proposed in…

General Relativity and Quantum Cosmology · Physics 2018-07-24 Stephon Alexander , Joao Magueijo , Lee Smolin

We show that gravitational Chern-Simons corrections, associated with the sigma-model anomaly on the M5-brane world-volume, can resolve the singularity of the M2-brane solution with Ricci-flat, special holonomy transverse space. We…

High Energy Physics - Theory · Physics 2009-09-17 Francisco A. Brito , Mirjam Cvetic , Asad Naqvi

No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Grumiller , Nicolas Yunes

We prove a general local rigidity theorem for pull-backs of homogeneous forms on reductive symmetric spaces under representations of discrete groups. One application of the theorem is that the volume of a closed manifold locally modelled on…

Geometric Topology · Mathematics 2023-09-19 Nicolas Tholozan

A few years ago, some of us devised a method to obtain integrable systems in (2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via reduction of the gauge connection in Hermitian symmetric spaces. In this paper we show…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 L. Martina , Kur. Myrzakul , R. Myrzakulov , G. Soliani

The holographic nonsupersymmetric renormalization group flows in four dimensions are found. The mass-deformed N=2, 4 Chern-Simons matter theories can be reproduced from N=1 Chern-Simons matter theory by putting some constraints in the mass…

High Energy Physics - Theory · Physics 2009-03-24 Changhyun Ahn

We construct the conserved charges (mass and angular momentum) of the Chern-Simons modified General Relativity in asymptotically flat and Anti-de Sitter (AdS) spacetimes. Our definition is based on background Killing symmetries and reduces…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bayram Tekin

The gravitational memory effects of Chern-Simons modified gravity are considered in the asymptotically flat spacetime. If the Chern-Simons scalar does not directly couple with the ordinary matter fields, there are also displacement, spin…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Shaoqi Hou , Tao Zhu , Zong-Hong Zhu

One of the possible low-energy consequences of string theory is the addition of a Chern-Simons term to the standard Einstein-Hilbert action of general relativity. It can be argued that the quintessence field should couple to this…

In this work we propose a new 2+1 theory of gravity. We start with a modification of Chern-Simons 2+1 gravity. By introducing a vector field $\Phi$ to the usual composition of the vierbein and connection, we derive a new action that…

High Energy Physics - Theory · Physics 2025-03-10 J. Chagoya , M. Sabido , A. Silva-García