Hamiltonian theory of brane-world gravity

Zoltán Kovács, László Á Gergely

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

Abstract

A brane-world universe consists of a 4-dimensional brane embedded into a 5-dimensional space-time (bulk). We apply the Arnowitt-Deser-Misner decomposition to the brane-world, which results in a 3+1+1 break-up of the bulk. We present the canonical theory of brane cosmology based on this decomposition. The Hamiltonian equations allow for the study of any physical phenomena in brane gravity. This method gives new prospects for studying the initial value problem, stability analysis, brane black holes, cosmological perturbation theory and canonical quantization in brane-worlds.

Original languageEnglish
Title of host publication11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity
Pages1290-1292
Number of pages3
Publication statusPublished - 2008
Event11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 - Berlin, Germany
Duration: Jul 23 2006Jul 29 2006

Other

Other11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006
CountryGermany
CityBerlin
Period7/23/067/29/06

Fingerprint

gravitation
decomposition
boundary value problems
cosmology
universe
perturbation theory

Keywords

  • Brane-world
  • Canonical gravity
  • Embedding variables

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Kovács, Z., & Gergely, L. Á. (2008). Hamiltonian theory of brane-world gravity. In 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity (pp. 1290-1292)

Hamiltonian theory of brane-world gravity. / Kovács, Zoltán; Gergely, László Á.

11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. 2008. p. 1290-1292.

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

Kovács, Z & Gergely, LÁ 2008, Hamiltonian theory of brane-world gravity. in 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. pp. 1290-1292, 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006, Berlin, Germany, 7/23/06.
Kovács Z, Gergely LÁ. Hamiltonian theory of brane-world gravity. In 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. 2008. p. 1290-1292
Kovács, Zoltán ; Gergely, László Á. / Hamiltonian theory of brane-world gravity. 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity. 2008. pp. 1290-1292
@inproceedings{36972b6e41164109a57cb1867f7b4df9,
title = "Hamiltonian theory of brane-world gravity",
abstract = "A brane-world universe consists of a 4-dimensional brane embedded into a 5-dimensional space-time (bulk). We apply the Arnowitt-Deser-Misner decomposition to the brane-world, which results in a 3+1+1 break-up of the bulk. We present the canonical theory of brane cosmology based on this decomposition. The Hamiltonian equations allow for the study of any physical phenomena in brane gravity. This method gives new prospects for studying the initial value problem, stability analysis, brane black holes, cosmological perturbation theory and canonical quantization in brane-worlds.",
keywords = "Brane-world, Canonical gravity, Embedding variables",
author = "Zolt{\'a}n Kov{\'a}cs and Gergely, {L{\'a}szl{\'o} {\'A}}",
year = "2008",
language = "English",
isbn = "9812834265",
pages = "1290--1292",
booktitle = "11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity",

}

TY - GEN

T1 - Hamiltonian theory of brane-world gravity

AU - Kovács, Zoltán

AU - Gergely, László Á

PY - 2008

Y1 - 2008

N2 - A brane-world universe consists of a 4-dimensional brane embedded into a 5-dimensional space-time (bulk). We apply the Arnowitt-Deser-Misner decomposition to the brane-world, which results in a 3+1+1 break-up of the bulk. We present the canonical theory of brane cosmology based on this decomposition. The Hamiltonian equations allow for the study of any physical phenomena in brane gravity. This method gives new prospects for studying the initial value problem, stability analysis, brane black holes, cosmological perturbation theory and canonical quantization in brane-worlds.

AB - A brane-world universe consists of a 4-dimensional brane embedded into a 5-dimensional space-time (bulk). We apply the Arnowitt-Deser-Misner decomposition to the brane-world, which results in a 3+1+1 break-up of the bulk. We present the canonical theory of brane cosmology based on this decomposition. The Hamiltonian equations allow for the study of any physical phenomena in brane gravity. This method gives new prospects for studying the initial value problem, stability analysis, brane black holes, cosmological perturbation theory and canonical quantization in brane-worlds.

KW - Brane-world

KW - Canonical gravity

KW - Embedding variables

UR - http://www.scopus.com/inward/record.url?scp=84892968985&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892968985&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84892968985

SN - 9812834265

SN - 9789812834263

SP - 1290

EP - 1292

BT - 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity

ER -