Diverging and twisting type N solutions of vacuum Einstein equations: an approximative approach

Autor:	Miguel Ángel Rodríguez Segura, Maciej Przanowski
Rok vydání:	2006
Předmět:	Physics General Relativity and Quantum Cosmology Physics and Astronomy (miscellaneous) Spacetime Gravitational wave Simple (abstract algebra) Bounded function Quantum mechanics Space time Metric (mathematics) Regular solution Type (model theory) Mathematical physics
Zdroj:	Classical and Quantum Gravity. 23:761-775
ISSN:	1361-6382 0264-9381
DOI:	10.1088/0264-9381/23/3/014
Popis:	An approximative method to find diverging and twisting type N solutions to the vacuum Einstein equations is considered. The general solution of iteration equations is found. The general metric of a regular spacetime in the first-order approximation is given. It is shown that there exists no regular solution in the second-order approximation. This leads us to the conclusion that there are severe difficulties in considering the vacuum type N solutions as those describing the gravitational radiation from a bounded source. In this paper, the Debney–Kerr–Schild coordinates are employed and the zero-order approximation is taken to have a particular simple form.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::161e9b79340853b1a026b37f2a27dc86 https://doi.org/10.1088/0264-9381/23/3/014 Zobrazit plný text záznamu