## Title: *Quasilocal energy and conserved charges derived from the gravitational action*
## Reporter: Hao-Tian Sun
## Abstract
in this paper, the authors discuss electrostatics in Anti-de-Sitter (AdS) spacetime, in global coordinates. They observe that the multipolar expansion has two crucial differences to that in Minkowski spacetime. First, there are everywhere regular solutions, with finite energy, for every multipole moment except for the monopole. Second, all multipole moments decay with the same inverse power of the areal radius, 1/r, as spatial infinity is approached. Consequently, they suggest Einstein-Maxwell solitons exist in AdS, and they support this claim by computing the first order metric perturbations sourced by test electric field multipoles, which are obtained analytically in closed form.
In this journal club, I will introduce a classical paper about quasilocal energy of gravitational and matter fields in a spatially bounded region ,the stress tensor is obtained by employing a Hamilton-Jacobi analysis of the action functional. (Brown York tensor).
## References
-[Arxiv:1507.04370](https://arxiv.org/abs/1507.04370)*Anti-de-Sitter regular electric multipoles: towards Einstein-Maxwell-AdS solitons* by Carlos Herdeiro* and *Eugen Radu*.
-[Arxiv:gr-qc/9209012](https://arxiv.org/abs/gr-qc/9209012)*Quasilocal Energy and Conserved Charges Derived from the Gravitational Action* by *J. David Brown* and *James W. York*.
