Note on counterterms in asymptotically flat spacetimes

Abstract

We consider in more detail the covariant counterterm proposed by Mann and Marolf in asymptotically flat spacetimes. With an eye to specific practical computations using this counterterm, we present explicit expressions in general $d$ dimensions that can be used in the so-called `cylindrical cut-off' to compute the action and the associated conserved quantities for an asymptotically flat spacetime. As applications, we show how to compute the action and the conserved quantities for the NUT-charged spacetime and for the Kerr black hole in four dimensions.

13 pages, v. 2 added references

References in corpus (27)

• The Dynamics of General Relativity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• A holographic reduction of Minkowski space-time
• Misner String Entropy
• Comparison between various notions of conserved charges in asymptotically AdS-spacetimes
• Holographic Renormalization of Asymptotically Flat Spacetimes
• Quasilocal Formalism and Black Ring Thermodynamics
• Exploring the holographic principle in asymptotically flat spacetimes via the BMS group
• Rigorous steps towards holography in asymptotically flat spacetimes
• Counter-term charges generate bulk symmetries
• Covariant Counterterms and Conserved Charges in Asymptotically Flat Spacetimes
• Holography in asymptotically flat space-times and the BMS group
• Lightcone reference for total gravitational energy
• New nonuniform black string solutions
• Quasilocal Energy for a Kerr black hole
• A Rotating Kaluza-Klein Black Hole with Squashed Horizons
• Conserved masses in GHS Einstein and string black holes
• Quasilocal Thermodynamics of Kerr and Kerr-anti-de Sitter Spacetimes and the AdS/CFT Correspondence
• On the Thermodynamics of NUT charged spaces
• Dilaton black holes with squashed horizons and their thermodynamics
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• On the gravitational energy of the Kaluza Klein monopole
• A note on Schwarzschild black hole thermodynamics in a magnetic universe
• Kaluza-Klein black holes with squashed horizons and $d=4$ superposed monopoles
• The non-zero energy of 2+1 Minkowski space
• Holographic Counterterm Actions and Anomalies for Asymptotic AdS and Flat Spaces

Cited by in corpus (35)

• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• The Holographic Nature of Null Infinity
• Thermodynamics of Black Holes in Two (and Higher) Dimensions
• Stationary black holes and attractor mechanism
• Relaxing the Parity Conditions of Asymptotically Flat Gravity
• Thermodynamical hairs of the four-dimensional Taub-Newman-Unti-Tamburino spacetimes
• The scalarised Schwarzschild-NUT spacetime
• Trace Anomaly and Counterterms in Designer Gravity
• Scalar charges and the first law of black hole thermodynamics
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• On Asymptotic Flatness and Lorentz Charges
• Quasilocal equilibrium condition for black ring
• On the Stress Tensor for Asymptotically Flat Gravity
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Rotating nonuniform black string solutions
• Non-Supersymmetric Attractors in BI black holes
• Boundary Terms Unbound! Holographic Renormalization of Asymptotically Linear Dilaton Gravity
• Action and Hamiltonians in higher dimensional general relativity: First order framework
• Flat-Space Holography and Stress Tensor of Kerr Black Hole
• Remarks on the Taub-NUT solution in Chern-Simons modified gravity
• Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case
• Quasi-Local Energy of a Charged Rotating Object Described by the Kerr-Newman Metric
• First-order action and Euclidean quantum gravity
• Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism
• Quasi-local energy and ADM mass in pure Lovelock gravity
• Explicit form of the Mann-Marolf surface term in (3+1) dimensions
• The Gregory-Laflamme instability and non-uniform generalizations of NUT strings
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• Quasi-Local Energy of a Rotating Object Described by Kerr Spacetime
• Asymptotically Plane Wave Spacetimes and their Actions
• Photon region boundary for stationary axisymmetric black holes
• Termodinámica de agujeros negros y campos escalares
• Electric and magnetic aspects of gravitational theories
• Agujeros Negros con Pelo y Dualidad AdS/CFT