Cotton Blend Gravity $pp$ Waves
@article{Deser2004CottonBG, title={Cotton Blend Gravity \$pp\$ Waves}, author={Stanley Deser and Roman Jackiw and So Young Pi}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2004} }
We study conformal gravity in d=2+1, where the Cotton tensor is equated to a--necessarily traceless--matter stress tensor, for us that of the improved scalar field. We first solve this system exactly in the $pp$ wave regime, then show it to be equivalent to topologically massive gravity.
3 Citations
Classification of solutions in topologically massive gravity
- Mathematics
- 2010
We study exact solutions of three-dimensional gravity with a cosmological constant and a gravitational Chern–Simons term: the theory known as topologically massive gravity. After reviewing the…
Scattering Amplitudes and The Cotton Double Copy
- Physics
- 2022
We construct classical curvature spinors in topologically massive gauge theory and topologically massive gravity, expressed in terms of massive three-particle amplitudes. We show that when the…
More on massive 3D supergravity
- Physics
- 2010
Completing earlier work on three-dimensional (3D) supergravity with curvature-squared terms, we construct the general supergravity extension of ‘cosmological’ massive gravity theories. In particular,…
Null warped AdS in higher spin gravity
- Mathematics
- 2015
A bstractWe equip three-dimensional spin-3 gravity in the principal embedding with a new set of boundary conditions that we call “asymptotically null warped AdS”. We find a chiral copy of the…
AdS waves of the four and six-drivative gravity models
- Mathematics
- 2013
A bstractIn this paper we investigate AdS waves in the R3 extension of new massive gravity. We show that R3 − N M G admit the geometries with the Schrodinger isometry group. When we approach the…
Emergence of the Cotton tensor for describing gravity
- Physics
- 2021
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…
Massive 3D supergravity
- Physics
- 2010
We construct the three-dimensional supergravity theory with cosmological, Einstein–Hilbert, Lorentz Chern–Simons, and general curvature squared terms. We determine the general supersymmetric…
Gravitational waves with torsion in 3D
- Physics
- 2014
We study gravitational waves with torsion as exact vacuum solutions of three-dimensional gravity with propagating torsion. The new solutions are a natural generalization of the plane-fronted…
Gravitational waves with torsion in 3
- Physics
- 2019
M. Blagojević ∗ and B. Cvetković † University of Belgrade, Institute of Physics, P. O. Box 57, 11001 Belgrade, Serbia (Dated: April 29, 2019) Abstract We study gravitational waves with torsion as…