New solutions in 3D gravity

Abstract

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the corresponding coupling constants vanish, we are left with the purely Einstein theory of gravity. We obtain new exact solutions for the gravitational field equations with the nontrivial material sources. Special attention is paid to plane-fronted gravitational waves (in case of the Maxwell field source) and to the circularly symmetric as well as the anisotropic cosmological solutions which arise for the ideal fluid matter source.

Revtex, 21 pages, no figures

References in corpus (8)

• All spacetimes with vanishing curvature invariants
• Black strings in asymptotically plane wave geometries
• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• Generalizations of pp-wave spacetimes in higher dimensions
• Plane Waves: To infinity and beyond!
• 3D gravity with torsion as a Chern-Simons gauge theory
• A generalisation of the Heckmann - Schucking cosmological solution
• Vacuum Plane Waves in 4+1 D and Exact solutions to Einstein's Equations in 3+1 D

Cited by in corpus (16)

• Lorentzian spacetimes with constant curvature invariants in four dimensions
• Lorentzian spacetimes with constant curvature invariants in three dimensions
• Black hole entropy in 3D gravity with torsion
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• Static and rotating black strings in dynamical Chern-Simons modified gravity
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Electric field in 3D gravity with torsion
• Covariant description of the black hole entropy in 3D gravity
• Near-horizon geometry with torsion
• Self-dual Maxwell field in 3D gravity with torsion
• Nonlinear electrodynamics in 3D gravity with torsion
• Siklos waves with torsion in 3D
• Gravitational waves with torsion in 3D
• Dirac field in topologically massive gravity
• Spinor coupling to the weak Poincare gauge theory of gravity in three dimensions
• Impulsive gravitational waves in general massive 3D gravity