# 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.

## 13 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,…

### 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
- 2009

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…

### Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and Causality

- Physics
- 2017

In this thesis, we studied the Topologically Massive Gravity (TMG) in two perspectives. Firstly, by using real scalar and abelian gauge fields, we built the Weyl-invariant extension of TMG which…

### 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…

### Siklos waves with torsion in 3D

- Physics, Mathematics
- 2014

A bstractStarting from the Siklos waves in general relativity with a cosmological constant, interpreted as gravitational waves on the anti-de Sitter background, a new class of exact torsion waves is…

## References

SHOWING 1-10 OF 13 REFERENCES

### Republication of: The dynamics of general relativity

- Art
- 2004

This article—summarizing the authors’ then novel formulation of General Relativity—appeared as Chap. 7, pp. 227–264, in Gravitation: an introduction to current research, L. Witten, ed. (Wiley, New…

### Toulouse (II) 1, 385 (1899); it was introduced into 3+1 Einstein gravity as an invariant criterion for initial value excitations by

### Ann. Phys

- Ann. Phys
- 1970

### Ann. Phys

- Ann. Phys
- 2003

### Phys

- Rev. D16, 953 (1977); Gen. Rel. & Grav. 9, 353
- 1978

### Ann. Phys. Ann. Phys

- Ann. Phys. Ann. Phys
- 1984

### Class. Quant. Grav

- Class. Quant. Grav
- 1992

### Toulouse (II) 1, 385 (1899); it was introduced into 3 + 1 Einstein gravity as an invariant criterion for initial value excitations by R

- Gravitation: An Introduction to Current Research
- 1962

### Phys. Rev. D16 Gen. Rel. & Grav

- Phys. Rev. D16 Gen. Rel. & Grav
- 1977