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In this article we consider $SU(2)$ Chern-Simons/Higgs theory coupled to gravity in three-dimensions. It is shown that for a cylindrically symmetric vortex both the Einstein equations and the field equations can be reduced to a set of…

高能物理 - 理论 · 物理学 2009-10-28 M. E. X. Guimarães , L. A. J. London

The Einsteinian Theory of Gravitation ("General Theory of Relativity") is founded essentially; on the reception that the geometrical properties of the 4-dimensional space-time continuum are defined from the matter in it. Contrary to this,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Michael Mattes

Massive gravity models in 2+1 dimensions, such as those obtained by adding to Einstein's gravity the usual Fierz-Pauli, or the more complicated Ricci scalar squared ($R^2$), terms, are tree level unitary. Interesting enough these seemingly…

高能物理 - 理论 · 物理学 2009-11-10 Antonio Accioly , Marco Dias

We define and discuss classical and quantum gravity in 2+1 dimensions in the Galilean limit. Although there are no Newtonian forces between massive objects in (2+1)-dimensional gravity, the Galilean limit is not trivial. Depending on the…

高能物理 - 理论 · 物理学 2009-11-13 Georgios Papageorgiou , Bernd J. Schroers

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…

高能物理 - 理论 · 物理学 2010-04-06 Wei Li , Wei Song , Andrew Strominger

Cosmological observations indicate that the Einstein equation may not be entirely correct to describe gravity. However, numerous modifications of these equations usually do not affect foundations of the theory. In this paper two important…

广义相对论与量子宇宙学 · 物理学 2009-12-01 Leonid V. Verozub

Chern-Simons modified gravity is an effective extension of general relativity that captures leading-order, gravitational parity violation. Such an effective theory is motivated by anomaly cancelation in particle physics and string theory.…

高能物理 - 理论 · 物理学 2015-05-13 Stephon Alexander , Nicolas Yunes

In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

广义相对论与量子宇宙学 · 物理学 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

Chern-Simons formulation of 2+1 dimensional Einstein gravity with a negative cosmological constant is investigated when the spacetime has the topology $ R\times T^{2}$. The physical phase space is shown to be a direct product of two…

高能物理 - 理论 · 物理学 2010-04-06 Kiyoshi Ezawa

We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS…

高能物理 - 理论 · 物理学 2015-06-15 Loriano Bonora , Maro Cvitan , Predrag Dominis Prester , Silvio Pallua , Ivica Smolic

In three spacetime dimensions, general relativity drastically simplifies, becoming a ``topological'' theory with no propagating local degrees of freedom. Nevertheless, many of the difficult conceptual problems of quantizing gravity are…

广义相对论与量子宇宙学 · 物理学 2015-06-25 S. Carlip

It has been known for some time that topological geons in quantum gravity may lead to a complete violation of the canonical spin-statistics relation : there may exist no connection between spin and statistics for a pair of geons. We present…

高能物理 - 理论 · 物理学 2016-09-06 A. P. Balachandran , E. Batista , I. P. Costa e Silva , P. Teotonio-Sobrinho

Chern-Simons models for gravity are interesting because they provide with a truly gauge-invariant action principle in the fiber-bundle sense. So far, their main drawback has largely been the perceived remoteness from standard General…

高能物理 - 理论 · 物理学 2014-11-18 Fernando Izaurieta , Paul Minning , Alfredo Pérez , Eduardo Rodríguez , Patricio Salgado

We first review the equivalence theorem of the f(R)-type gravity to Einstein gravity with a scalar field by deriving it in a self-contained and pedagogical way. Then we describe the problem of to what extent the equivalence holds. Main…

广义相对论与量子宇宙学 · 物理学 2015-03-13 Yasuo Ezawa , Yoshiaki Ohkuwa

This paper aims to discuss two issues that can have a significant impact on the foundations of the theory of gravitation: (1). The existence of relativity of space-time geometry with respect to the properties of used reference frame, which…

广义相对论与量子宇宙学 · 物理学 2010-11-30 Leonid. V. Verozub

Einstein Gravity in 2+1 dimensions arises as a consequence of the equations of motion of a gauge model in an external metric. Newton's constant appears as an order parameter of a spontaneously broken discrete symmetry. Matter is coupled in…

高能物理 - 理论 · 物理学 2007-05-23 R. Brooks , D. Cangemi , M. Crescimanno

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Kirill Krasnov

When 4-dimensional general relativity is extended by a 3-dimensional gravitational Chern-Simons term an apparent violation of diffeormorphism invariance is extinguished by the dynamical equations of motion for the modified theory. The…

广义相对论与量子宇宙学 · 物理学 2017-08-23 R. Jackiw

This is intended as a broad introduction to Chern-Simons gravity and supergravity. The motivation for these theories lies in the desire to have a gauge invariant system --with a fiber bundle formulation-- in more than three dimensions,…

高能物理 - 理论 · 物理学 2008-03-21 Jorge Zanelli

For extended $\mathcal{N}\leq 8$ supersymmetry we classify all possible gauge groups for a scalar multiplet allowed by the algebras of global and local supersymmetry in three dimensions. A detailed discussion of supersymmetry enhancement is…

高能物理 - 理论 · 物理学 2018-08-10 Frederik Lauf , Ivo Sachs