• Corpus ID: 6303576

A New Boundary Counterterm for Asymptotically AdS Spacetimes

  title={A New Boundary Counterterm for Asymptotically AdS Spacetimes},
  author={Robert A. McNees},
  journal={arXiv: High Energy Physics - Theory},
  • R. McNees
  • Published 22 December 2005
  • Physics
  • arXiv: High Energy Physics - Theory
We present a modified version of the boundary counterterm method for removing divergences from the action of an asymptotically $AdS$ spacetime. The standard approach renders the action finite but leaves diffeomorphism invariance partially broken if the dimension of the spacetime is odd. We show that this symmetry is restored by a new boundary counterterm, needed to cancel a divergence that appears in dimensional regularization. The result is a finite, diffeomorphism invariant action appropriate… 
We apply the counterterm subtraction technique to calculate the action and other quantities of the Kerr-AdS black hole in five dimensions using two boundary metrics: the Einstein universe and the
Unified approach to the regularization of odd dimensional AdS gravity
In this paper I introduce an action principle for odd dimensional AdS gravity with a suitable boundary term which regularizes the theory in such a way that the background substraction and counterterm
Thermodynamics of black holes in two (and higher) dimensions
A comprehensive treatment of black hole thermodynamics in two-dimensional dilaton gravity is presented. We derive an improved action for these theories and construct the Euclidean path integral. An
Microscopic black hole entropy in theories with higher derivatives
We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS3 × X geometry. In arbitrary theories with diffeomorphism in- variance we show how to obtain
Black hole thermodynamics and Hamilton-Jacobi counterterm
We review the construction of the universal Hamilton-Jacobi counterterm for dilaton gravity in two dimensions, derive the corresponding result in the Cartan formulation and elaborate further upon
Polymerization, the Problem of Access to the Saddle Point Approximation, and Thermodynamics
This work seeks an alternative solution to the saddle point approximation to the partition functions via the polymer quantization which is motivated by the loop quantum gravity.
Path Integral for Half-Binding Potentials as Quantum Mechanical Analog for Black Hole Partition Functions
The semi-classical approximation to black hole partition functions is not well-defined, because the classical action is unbounded and the first variation of the uncorrected action does not vanish for
Polymer quantization and the saddle point approximation of partition functions
The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and
Hamilton-Jacobi counterterms for Einstein-Gauss-Bonnet gravity
The on-shell gravitational action and the boundary stress tensor are essential ingredients in the study of black hole thermodynamics. We employ the Hamilton–Jacobi method to calculate the boundary
Time-dependent solutions of gravity
Several new solutions of Einstein gravity, Einstein-Maxwell, and supergravity are presented. The solutions are derived, often from known solutions via analytic continuation, or generating or


Thermodynamics of Asymptotically Locally AdS Spacetimes
We formulate the variational problem for AdS gravity with Dirichlet boundary conditions and demonstrate that the covariant counterterms are necessary to make the variational problem well-posed. The
Holographic renormalization of asymptotically flat spacetimes
A new local, covariant 'counter-term' is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension d ≥ 4. The new counter-term makes direct contact with
Comparison between various notions of conserved charges in asymptotically AdS spacetimes
We derive Hamiltonian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the 'covariant phase space' method of Wald et al. We then compare our
AdS/CFT Casimir Energy for Rotating Black Holes
We show that if one chooses the Einstein Static Universe as the metric on the conformal boundary of Kerr-AdS spacetime, then the Casimir energy of the boundary conformal field theory can easily be
Surface terms as counterterms in the AdS-CFT correspondence
We examine the recently proposed technique of adding boundary counterterms to the gravitational action for spacetimes which are locally asymptotic to anti\char21{}de Sitter spacetimes. In particular,
Counterterm charges generate bulk symmetries
We further explore the counterterm subtraction definition of charges (e.g., energy) for classical gravitating theories in spacetimes of relevance to gauge/gravity dualities; i.e., in asymptotically
The gravitational action in asymptotically AdS and flat space-times
Rotation and the AdS / CFT correspondence
In asymptotically flat space a rotating black hole cannot be in thermodynamic equilibrium because the thermal radiation would have to be co-rotating faster than light far from the black hole. However