The analytic conformal compactification of the Schwarzschild spacetime

Article

The analytic conformal compactification of the Schwarzschild spacetime

Haláček, J.; Ledvinka, T.

Class. Quantum Grav. 31, 015007 (2014)

Abstract

Among the coordinates used to construct a conformal compactification of
the Schwarzschild spacetime, none of them simultaneously extend smoothly
both through an event horizon and beyond null infinity. To construct such
coordinates, instead of starting with the Kruskal–Szekeres coordinates, we
assume direct analytic transformation between Schwarzschild and compactified
coordinates and determine their behavior on the event horizon and at null
infinity.We then propose an example of such coordinates and illustrate the way
they cover the conformally extended Schwarzschild spacetime as well as their
suitability for numerical applications.

Institute authors

Ledvinka, Tomáš

Supported by

GACR 202/09/0772 — Current problems of gravitation, general relativity and relativistic astrophysics
GACR 205/09/H033 — General relativity and its applications in astrophysics and cosmology
SVV-267301 — Aktuální problémy teoretické fyziky, astronomie a astrofyziky

BibTeX

@article{UTF484,
  author        = {Haláček, J. and Ledvinka, T.},
  title         = {{The analytic conformal compactification of the Schwarzschild spacetime}},
  journal       = {Class. Quantum Grav.},
  volume        = {31},
  pages         = {015007},
  year          = {2014},
  doi           = {10.1088/0264-9381/31/1/015007},
  eprint        = {1401.1337},
  archivePrefix = {arXiv},
}