The analytic conformal compactification of the Schwarzschild spacetime
Haláček, J.; Ledvinka, T.
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.
type: | article |
journal: | Class. Quantum Grav. |
volume: | 31 |
pages: | 015007 |
year: | 2014 |
eprint: | arxiv:1401.1337 |
grants: | Current problems of gravitation, general relativity and relativistic astrophysics, GAČR 202/09/0772; 2009-2013; hlavní řešitel: Jiří BičákGeneral relativity and its applications in astrophysics and cosmology, GAČR 205/09/H033; 2009-2012; hlavní řešitel: Oldřich Semerák, doktorandský grantAktuální problémy teoretické fyziky, astronomie a astrofyziky; 2013; řešitel: Oldřich Semerák |