Analytical Conformal Compactification of Schwarzschild Spacetime

Abstrakt

We discuss a construction of the coordinates simultaneously covering the complete Schwarzschild manifold as well as its conformal extension beyond I+-. We provide an example of such coordinates and show they are analytical both at horizon and at null infinity.

We also show, that having such analytical compactification can improve convergence in certain numerical applications.

Klíčová slova

• analytical conformal compactification
• Schwarzschild spacetime