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Title: Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes

Abstract

A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a nonflat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find solutions of the Einstein equations in D-dimensional space-time with D-2 commuting Killing vectors using the complete integrability of this system. The method appears also to be promising for the analysis of the uniqueness questions for higher-dimensional black holes.

Authors:
 [1]
  1. Budker Institute of Nuclear Physics, 630090, Novosibirsk, Russia, and Novosibirsk University, 630090, Novosibirsk (Russian Federation)
Publication Date:
OSTI Identifier:
20776742
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.73.044004; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; COSMOLOGY; EINSTEIN FIELD EQUATIONS; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; SOLITONS; SPACE-TIME; SYMMETRY; VECTORS

Citation Formats

Pomeransky, A.A.. Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.044004.
Pomeransky, A.A.. Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes. United States. doi:10.1103/PhysRevD.73.044004.
Pomeransky, A.A.. Wed . "Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes". United States. doi:10.1103/PhysRevD.73.044004.
@article{osti_20776742,
title = {Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes},
author = {Pomeransky, A.A.},
abstractNote = {A new derivation of the five-dimensional Myers-Perry black-hole metric as a 2-soliton solution on a nonflat background is presented. It is intended to be an illustration of how the well-known Belinski-Zakharov method can be applied to find solutions of the Einstein equations in D-dimensional space-time with D-2 commuting Killing vectors using the complete integrability of this system. The method appears also to be promising for the analysis of the uniqueness questions for higher-dimensional black holes.},
doi = {10.1103/PhysRevD.73.044004},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}