Scalar Field Contribution to Rotating Black Hole Entropy

Abstract

Scalar field contribution to entropy is studied in arbitrary D dimensional one parameter rotating spacetime by semiclassical method. By introducing the zenithal angle dependent cutoff parameter, the generalized area law is derived. The non-rotating limit can be taken smoothly and it yields known results. The derived area law is then applied to the Banados-Teitelboim-Zanelli (BTZ) black hole in (2+1) dimension and the Kerr-Newman black hole in (3+1) dimension. The generalized area law is reconfirmed by the Euclidean path integral method for the quantized scalar field. The scalar field mass contribution is discussed briefly.

26 pages

References in corpus (29)

• The Black Hole in Three Dimensional Space Time
• Thermodynamics of Spacetime: The Einstein Equation of State
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• Rotation and the AdS/CFT correspondence
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• The General Kerr-de Sitter Metrics in All Dimensions
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Entropies of Scalar Fields on Three Dimensional Black Holes
• Conical geometry and quantum entropy of a charged Kerr black hole
• On the Entropy of a Quantum Field in the Rotating Black Holes
• Thermodynamics of Quantum Fields in Black Hole Backgrounds
• How does the entropy/information bound work ?
• On Quasinormal Modes, Black Hole Entropy, and Quantum Geometry
• Entropy in the Kerr-Newman Black Hole
• Entropy of the BTZ Black Hole in 2+1 Dimensions
• Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q}
• Remarks on Conserved Quantities and Entropy of BTZ Black Hole Solutions. Part I: the General Setting
• Sasaki-Einstein Twist of Kerr-AdS Black Holes
• Universal Entropy Bound for Rotating Systems
• The Holographic Entropy Bound and Local Quantum Field Theory
• Superradiance and the Statistical-Mechanical Entropy of Rotating BTZ Black Holes
• Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing Horizons
• Statistical Mechanics on Axially-symmetric Space-times with the Killing Horizon and Entropy of Rotating Black Holes in Induced Gravity
• Entropy bound for a rotating system from Anti de Sitter black holes
• Solution Independent Analysis of Black Hole Entropy in Brick Wall Model
• Entropy bounds for charged and rotating systems
• Entropy of Non-Extreme Rotating Black Holes in String Theories

Cited by in corpus (13)

• Entanglement entropy of black holes
• Entropy of the Schwarzschild black hole to all orders in the Planck length
• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Canonical entropy of three-dimensional BTZ black hole
• Entropy of a charged black hole in two dimensions without cutoff
• Entropy of (2+1)-dimensional de Sitter black hole to all orders in the Planck length
• Normal Modes and No Zero Mode Theorem of Scalar Fields in BTZ Black Hole Spacetime
• Bound of Noncommutativity Parameter Based on Black Hole Entropy
• Rotating Black Hole Entropy from Two Different Viewpoints
• Entropy of Kerr-Newman black hole to all orders in the Planck length
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Entropy of BTZ black strings in the brick wall approach
• Generalized Area Law under Multi-parameter Rotating Black Hole Spacetime