# Chern-Simons modification of general relativity

@article{Jackiw2003ChernSimonsMO, title={Chern-Simons modification of general relativity}, author={Roman Jackiw and S. Y. Pi}, journal={Physical Review D}, year={2003}, volume={68}, pages={104012} }

General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate v_\mu -- an external quantity, which we fix to be a non-vanishing constant in its time component. The theory is identical to one in which the embedding coordinate is itself a dynamical variable, rather than a fixed, external quantity. Consequently diffeomorphism symmetry breaking is hidden in the modified theory: the Schwarzschild…

## 394 Citations

Decoupling and reduction in Chern–Simons modified gravity

- Physics
- 2010

Abstract We show that for four-dimensional spacetimes with a non-null hypersurface orthogonal Killing vector and for a Chern–Simons (CS) background (non-dynamical) scalar field, which is constant…

Vacuum Instability in Chern-Simons Gravity

- Physics
- 2012

We explore perturbations about a Friedmann-Robertson-Walker background in Chern-Simons gravity. At large momenta one of the two circularly polarized tensor modes becomes ghostlike. We argue that…

Einstein-Cartan formulation of Chern-Simons Lorentz-violating gravity

- Physics
- 2007

We consider a modification of the standard Einstein theory in four dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012 (2003), since it is based on the first-order…

Anomaly-induced effective action and Chern–Simons modification of general relativity

- Physics
- 2014

Recently it was shown that the quantum vacuum effects of massless chiral fermion field in curved space–time leads to the parity-violating Pontryagin density term, which appears in the trace anomaly…

CPT violating electrodynamics and Chern-Simons modified gravity

- Physics
- 2009

The electrodynamics with a Chern-Simons term p(mu)A(nu)(F) over tilde (mu nu) violates Lorentz and CPT symmetries with a non-vanishing p(mu). For a fixed vector p(mu), in this Letter we point out…

Chern-Simons modified gravity as a torsion theory and its interaction with fermions

- Physics
- 2008

We study the tetrad formulation of Chern-Simons (CS) modified gravity, which adds a Pontryagin term to the Einstein-Hilbert action with a spacetime-dependent coupling field. We first verify that CS…

Non-perturbative spinning black holes in dynamical Chern–Simons gravity

- PhysicsPhysics Letters B
- 2018

GEOMETRIC DUALITY AND CHERN–SIMONS MODIFIED GRAVITY

- Physics
- 2010

We consider a theory which involves an extension of general relativity known as Chern–Simons modified gravity (CSMG). In this theory the standard Einstein–Hilbert action is extended with a…

Distinguishing general relativity from Chern-Simons gravity using gravitational wave polarizations

- PhysicsPhysical Review D
- 2019

Quasi-normal modes (QNMs) uniquely characterize the final black-hole. Till now, only the QNM frequency and damping time are used to test General relativity. In this work, we show explicitly that…

## References

SHOWING 1-10 OF 11 REFERENCES

Ann

- 2005

Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…

Gravitation and Cosmology (Wiley

- New York,
- 1972

Phys

- Rev. Lett. 83, 1506
- 1999

Phys. Rev. Lett

- Phys. Rev. Lett
- 1999

Phys

- Rev. Lett. 79, 2394
- 1997

Phys. Rev. Lett

- Phys. Rev. Lett
- 1997

Phys

- Rev. D 49, 5173
- 1994

Phys. Rev. D

- Phys. Rev. D
- 1994

Phys

- Rev. D 41, 123
- 1990

Phys. Rev. D

- Phys. Rev. D
- 1990