Brief Note on Thurston Geometries in 3D Quadratic Curvature Theories
Gokhan Alkac, Deniz Olgu Devecioglu
TL;DR
This paper demonstrates that Thurston geometries are solutions within a broad class of three-dimensional quadratic curvature theories, extending the known solutions of New Massive Gravity to a wider theoretical framework.
Contribution
It reveals that Thurston geometries are solutions to many 3D quadratic curvature theories, generalizing the specific case of New Massive Gravity.
Findings
Thurston geometries solve a large class of 3D quadratic curvature theories.
New Massive Gravity is a special case within this class.
The work broadens the understanding of geometric solutions in 3D gravity theories.
Abstract
We show that Thurston geometries are solutions to a large class of 3D quadratic curvature theories, where New Massive Gravity, which was studied in arXiv:2104.00754, is a special case.
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