Particle-like solutions to topologically massive gravity
G\'erard Cl\'ement
TL;DR
This paper develops a method to find exact, horizonless solutions in topologically massive gravity with a cosmological constant, focusing on configurations asymptotic to BTZ black holes, by reducing the problem to a special-relativistic dynamical system.
Contribution
It introduces a novel reduction technique for topologically massive gravity with symmetries, enabling the construction of new exact solutions without sources or horizons.
Findings
Derived a class of exact solutions asymptotic to BTZ black holes
Demonstrated the reduction to a special-relativistic dynamical problem
Provided horizonless, sourceless configurations in topologically massive gravity
Abstract
The solution of topologically massive gravity with cosmological constant is reduced, for space-times with two commuting Killing vectors, to a special-relativistic dynamical problem. This approach is applied to the construction of a class of exact sourceless, horizonless solutions asymptotic to the BTZ extreme black holes.
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