pith. sign in

arxiv: hep-th/0503045 · v3 · submitted 2005-03-04 · ✦ hep-th · gr-qc

Comparison between various notions of conserved charges in asymptotically AdS-spacetimes

S. Hollands , A. Ishibashi , D. Marolf This is my paper
classification ✦ hep-th gr-qc
keywords boundarydefinitionconditionsasymptoticmethodproposedads-spacetimesagrees
0
0 comments X
read the original abstract

We derive hamiltionian 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 results with other definitions that have been proposed in the literature. We find that our definition agrees with that proposed by Ashtekar et al, with the spinor definition, and with the background dependent definition of Henneaux and Teitelboim. Our definition disagrees with the one obtained from the ``counterterm subtraction method,'' but the difference is found to consist only of a ``constant offset'' that is determined entirely in terms of the boundary metric. We finally discuss and justify our boundary conditions by a linear perturbation analysis, and we comment on generalizations of our boundary conditions, as well as inclusion of matter fields.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions

    hep-th 2026-06 unverdicted novelty 6.0

    Finite Carrollian limit of extended AdS first law is reinterpreted as double-scaled large-N low-temperature holographic ensemble with finite products, new boundary stress tensor, and celestial correlator representations.

  2. Positivity of holographic energy

    gr-qc 2026-04 unverdicted novelty 6.0

    Positivity of a weighted holographic energy is proven for 4D spacetimes with negative cosmological constant and conformally static boundaries of spherical or toroidal topology with compatible spin structure.

  3. Positivity of holographic energy

    gr-qc 2026-04 unverdicted novelty 5.0

    Positivity is proven for a weighted holographic energy in 4D asymptotically AdS spacetimes with conformally static boundaries of spherical or toroidal topology.

  4. The Role of the Volume in Black Hole Thermodynamics

    gr-qc 2026-06 unverdicted novelty 4.0

    Adapting Barnich-Compère conserved charges, the first law requires unvarying components for both the Killing vector and AdS background (true for E's ξ but not F's β), while V_C enters the β-Smarr relation due to simpl...