Entropy product of rotating black holes in three-dimensions
arXiv:1612.01135 · doi:10.1103/PhysRevD.95.064027
Abstract
It has been shown that the product of the entropies of the inner Cauchy and outer event horizon of the charged axisymmetric and stationary black holes is a universal formula, which is independent of the black hole's mass. In this paper, we investigate this universality for the two kinds of rotating black holes in the three-dimensional gravity models. In fact, we study the spacelike warped anti-de Sitter black hole in the new massive gravity and the Ba~nados, Teitelboim, and Zanelli black hole in the minimal massive gravity. We show that this rule is held in the first theory. By contrast, in the latter case which includes a holographic gravitational anomalous term, we obtain that the universality does not work and the product depends on the mass. As a complement to the above verification, we also study the thermodynamic properties of these black holes.
arXiv comment12 pages, some refs. added and accepted for publication in Phys. Rev. D
References in corpus (45)
- The Large N Limit of Superconformal Field Theories and Supergravity
- The Black Hole in Three Dimensional Space Time
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black Hole Entropy is Noether Charge
- The Dynamics of General Relativity
- Massive Gravity in Three Dimensions
- AdS3 Black Holes and a Stringy Exclusion Principle
- Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
- Energy in Generic Higher Curvature Gravity Theories
- Warped AdS_3 Black Holes
- More on Massive 3D Gravity
- Microscopic Black Hole Entropy in Theories with Higher Derivatives
- Holographic Gravitational Anomalies
- General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
- Entropy of Non-Extreme Charged Rotating Black Holes in String Theory
- The black holes of topologically massive gravity
- Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
- Black Hole Entropy in the presence of Chern-Simons Terms
- Greybody factors for rotating black holes in four dimensions
- Holography with Gravitational Chern-Simons Term
- A String Model of Black Hole Microstates
- Warped AdS_3 black holes in new massive gravity
- Universal properties and the first law of black hole inner mechanics
- Cosmological Solutions of Higher-Curvature String Effective Theories with Dilatons
- On Unitarity of Massive Gravity in Three Dimensions
- Minimal Massive 3D Gravity
- Note on New Massive Gravity in
- On Higher Derivatives in 3D Gravity and Higher Spin Gauge Theories
- Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
- Inner Mechanics of 3d Black Holes
- Renormalizability of Massive Gravity in Three Dimensions
- Black holes with a null Killing vector in three-dimensional massive gravity
- Outgoing gravitational shock-wave at the inner horizon: The late-time limit of black hole interiors
- The inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter
- AdS Black Hole Solutions in the Extended New Massive Gravity
- Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit
- Unitarity versus Renormalizability of Higher Derivative Gravity in 3D
- Black Holes in Born-Infeld Extended New Massive Gravity
- On asymptotically AdS-like solutions of three dimensional massive gravity
- On Solutions of Minimal Massive 3D Gravity
- The entropy formula of black holes in Minimal Massive Gravity and its application for BTZ black holes
- On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
- Entropy Product Formula for spinning BTZ Black Hole
- Hamiltonian formalism of Minimal Massive Gravity
- Canonical structure of BHT massive gravity in warped AdS3 sector