Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes

Abstract

We determine all spacetime flows which lead to a Hamiltonian dynamics in the space of general relativistic initial data sets with asymptotically Kerr-de Sitter ends. The corresponding Hamiltonians are calculated. Some implications for black-hole thermodynamics are pointed out.

53 pages, 2 figures

References in corpus (8)

• Kerr-de Sitter Universe
• Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Rigid upper bounds for the angular momentum and centre of mass of non-singular asymptotically anti-de Sitter space-times
• Adventures in de Sitter space
• Space-time diagrammatics
• Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends
• The Trautman-Bondi mass of initial data sets

Cited by in corpus (8)

• Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
• A review of total energy-momenta in GR with a positive cosmological constant
• Energy in higher-dimensional spacetimes
• Gravitational multipole moments for asymptotically de Sitter spacetimes
• General mass formulas for charged Kerr-AdS black holes
• Gluing variations
• Generating Kerr-anti-de Sitter thermodynamics
• Compact singularity-free Kerr-Newman-de Sitter instantons