How to bypass Birkhoff through extra dimensions (a simple framework for investigating the gravitational collapse in vacuum)

Simple item page
dc.creatorBizoń, Piotr
dc.creatorSchmidt, Bernd G.
dc.date2006-05-21
dc.date.accessioned2026-07-07T11:04:26Z
dc.date.available2026-07-07T11:04:26Z
dc.descriptionIt is fair to say that our current mathematical understanding of the dynamics of gravitational collapse to a black hole is limited to the spherically symmetric situation and, in fact, even in this case much remains to be learned. The reason is that Einstein's equations become tractable only if they are reduced to a 1+1 dimensional system of partial differential equations. Due to this technical obstacle, very little is known about the collapse of pure gravitational waves because by Birkhoff's theorem there is no spherical collapse in vacuum. In this essay we describe a new cohomogeneity-two symmetry reduction of the vacuum Einstein equations in five and higher odd dimensions which evades Birkhoff's theorem and admits time dependent asymptotically flat solutions. We argue that this model provides an attractive 1+1 dimensional geometric setting for investigating the dynamics of gravitational collapse in vacuum.
dc.description7 pages, received "honorable mention" in 2006 Gravity Research Foundation essay contest
dc.identifierhttps://arxiv.org/abs/gr-qc/0605114
dc.identifierhttp://arxiv.org/abs/gr-qc/0605114
dc.identifierInt.J.Mod.Phys.D15:2217-2222,2006
dc.identifierdoi:10.1142/S0218271806009649
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188892
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHow to bypass Birkhoff through extra dimensions (a simple framework for investigating the gravitational collapse in vacuum)
dc.typetext

Files

Collections

arXiv