Stationary spacetime from intersecting M-branes

Kei Ichi Maeda, Makoto Tanabe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study a stationary "black" brane in M/superstring theory. Assuming BPS-type relations between the first-order derivatives of metric functions, we present general stationary black brane solutions with a traveling wave for the Einstein equations in D-dimensions. The solutions are given by a few independent harmonic equations (and plus the Poisson equation). General solutions are constructed by superposition of a complete set of those harmonic functions. Using the hyperspherical coordinate system, we explicitly give the solutions in 11-dimensional M theory for the case with M2⊥M5 intersecting branes and a traveling wave. Compactifying these solutions into five dimensions, we show that these solutions include the BMPV black hole and the Brinkmann wave solution. We also find new solutions similar to the Brinkmann wave. We prove that the solutions preserve the 1/8 supersymmetry if the gravi-electromagnetic field Fi j, which is a rotational part of gravity, is selfdual. We also discuss non-spherical "black" objects (e.g., a ring topology and an elliptical shape) by use of other curvilinear coordinates.

Original languageEnglish
Title of host publicationAlbert Einstein Century International Conference
Pages412-419
Number of pages8
DOIs
Publication statusPublished - 2006 Dec 1
EventAlbert Einstein Century International Conference - Paris, France
Duration: 2005 Jul 182005 Jul 22

Publication series

NameAIP Conference Proceedings
Volume861
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceAlbert Einstein Century International Conference
CountryFrance
CityParis
Period05/7/1805/7/22

Keywords

  • D-brane
  • M theory
  • Supergravity
  • Superstring
  • Supersymmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Maeda, K. I., & Tanabe, M. (2006). Stationary spacetime from intersecting M-branes. In Albert Einstein Century International Conference (pp. 412-419). (AIP Conference Proceedings; Vol. 861). https://doi.org/10.1063/1.2399604