On the Chern-Simons State in General Relativity and Modified Gravity Theories

Chern-Simons-like action induced radiatively in General Relativity

T. Mariz, J. R. Nascimento, E. Passos and R. F. Ribeiro∗ Departamento de F́ısica, Universidade Federal da Paráıba, Caixa Postal 5008, 58051-970 João Pessoa, Paráıba, Brazil (Dated: March 25, 2004) Abstract The Chern-Simons-like gravitational action is evaluated explicitly in four dimensional space-time by radiative corrections at one-loop level. The calculation is performed in fermionic sector w...

Flat rotation curves in Chern-Simons modified gravity

How do black holes spin in Chern-Simons modified gravity?

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 choice of the background scalar, the modified field equations decouple into the Einstein equations and additional constraints. These constraints eliminate essenti...

General relativity from five dimensional Chern-Simons theory

We derive general relativity (GR) from a five dimensional Chern-Simons theory defined on a manifold with a boundary. The underlying mechanism is not a Kaluza-Klein reduction, rather, GR appears as an effective theory at the (four dimensional) boundary. It has been suggested many times that general relativity (GR) may not be a fundamental theory but only an effective theory arising from a still ...

Chern-Simons Gauge Theories

We derive the general form for a three-dimensional scale-invariant field theory with N = 6 supersymmetry, SU(4) R-symmetry and a U(1) global symmetry. The results can be written in terms of a 3-algebra in which the triple product is not antisymmetric. For a specific choice of 3-algebra we obtain the N = 6 theories that have been recently proposed as models for M2-branes in an R/Zk orbifold back...