Universität zu Köln

Heinicke, Christian and Hehl, Friedrich W. ORCID: 0000-0003-2503-4744 (2015). Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction. Int. J. Mod. Phys. D, 24 (2). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6594

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Abstract

Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric solution, the Kerr solution. The Schwarzschild solution is unique and its metric can be interpreted as the exterior gravitational field of a spherically symmetric mass. The Kerr solution is only unique if the multipole moments of its mass and its angular momentum take on prescribed values. Its metric can be interpreted as the exterior gravitational field of a suitably rotating mass distribution. Both solutions describe objects exhibiting an event horizon, a frontier of no return. The corresponding notion of a black hole is explained to some extent. Eventually, we present some generalizations of the Kerr solution.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Heinicke, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED Hehl, Friedrich W. UNSPECIFIED orcid.org/0000-0003-2503-4744 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-413255
DOI:	10.1142/S0218271815300062
Journal or Publication Title:	Int. J. Mod. Phys. D
Volume:	24
Number:	2
Date:	2015
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6594
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language RIGIDLY ROTATING-DISK; GRAVITATIONAL-FIELD; MULTIPOLE MOMENTS; SPACE-TIMES; GENERAL-RELATIVITY; BLACK-HOLES; UNIQUENESS; CLOCKS; MASS; FORMULATION Multiple languages Astronomy & Astrophysics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41325