Supertranslations at timelike infinity

Article

Supertranslations at timelike infinity

Chakraborty, S.; Ghosh, D.; Hoque Sk, J.; Khairnare, A.; Virmanic, A.

J. High Energy Phys., 42 (2022)

Abstract

We propose a definition of asymptotic flatness at timelike infinity in four spacetime dimensions. We present a detailed study of the asymptotic equations of motion and the action of supertranslations on asymptotic fields. We show that the Lee-Wald symplectic form Omega(g, delta(1)g, delta(2)g) does not get contributions from future timelike infinity with our boundary conditions. As a result, the "future charges" can be computed on any two-dimensional surface surrounding the sources at timelike infinity. We present expressions for supertranslation and Lorentz charges.

Institute authors

Hoque, Sk Jahanur

Supported by

GACR 19-01850S — Black-hole and radiative spacetimes: exact methods

BibTeX

@article{UTF917,
  author        = {Chakraborty, S. and Ghosh, D. and Hoque Sk, J. and Khairnare, A. and Virmanic, A.},
  title         = {{Supertranslations at timelike infinity}},
  journal       = {J. High Energy Phys.},
  number        = {2},
  pages         = {42},
  year          = {2022},
  month         = {2},
  doi           = {10.1007/JHEP02(2022)022},
}