BTZ Black Holes and Flat Space Cosmologies in Higher Derivative Theories

Abstract

We consider BTZ black holes and flat space cosmologies in generic higher derivative gravity theories in 2+1 dimensions. Our goal is to prove the match between the bulk Iyer-Wald entropy and the field theory entropy for various symmetry algebras (CFT${}_2$, Warped CFT${}_2$, BMS${}_3$). We also discuss phase transitions in higher curvature theories, and argue that, in the flat case, there is strictly speaking no phase transition in the grand canonical ensemble.

Version 3: small modifications, journal reference added

References in corpus (8)

• Massive Gravity in Three Dimensions
• Surface charge algebra in gauge theories and thermodynamic integrability
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Black hole mass and angular momentum in topologically massive gravity
• Flat-Space Chiral Gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Phase Transitions in Warped AdS${}_3$ Gravity
• Warped AdS_3 Black Holes in Higher Derivative Gravity Theories

Cited by in corpus (4)

• Warped Symmetries of the Kerr Black Hole
• New Chiral Gravity
• Warped Flatland
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity