Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

The identification between the bulk and boundary conserved quantities

Gerui Chen, Zien Gao, Xin Lan, Jieqiang Wu, Hongbao Zhang

Abstract

By using Wald formalism, we show that the identification between the bulk and boundary conserved quantities induced by the perturbation of generic non-electromagnetic matter field holds not only on top of the asymptotically flat stationary spacetimes but also on top of the asymptotically AdS stationary ones. We further show that such an identification reduces to the familiar form for the test point particle by viewing it as the limiting case of general matter.

The identification between the bulk and boundary conserved quantities

Abstract

By using Wald formalism, we show that the identification between the bulk and boundary conserved quantities induced by the perturbation of generic non-electromagnetic matter field holds not only on top of the asymptotically flat stationary spacetimes but also on top of the asymptotically AdS stationary ones. We further show that such an identification reduces to the familiar form for the test point particle by viewing it as the limiting case of general matter.

Paper Structure

This paper contains 4 sections, 27 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The bulk and boundary identification for general matter
  3. The bulk and boundary identification for point particle
  4. Conclusion

Figures (1)

  • Figure 1: The background is perturbed by the non-electromagnetic matter, where the green shaded region and red line represent the distribution for the general matter and the trajectory of the point particle, respectively. The left plot is for the asymptotically flat spacetime, where the hypersurface can end on either the spatial infinity as $\Sigma_1$ or on the null infinity as $\Sigma_2$. The right plot is for the asymptotically AdS spacetime, where the hypersurface can end anywhere on the AdS boundary. The inner boundary $B$ of the hypersurface, if exists, is assumed not to be perturbed by the presence of the matter.