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

Bizon, P., & Schmidt, B. G. (2006). How to bypass Birkhoff through extra dimensions (a simple framework for investigating the gravitational collapse in vacuum). International Journal of Modern Physics D, 15, 2217-2222. doi:10.1142/S0218271806009649.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4C6E-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4C6F-6
Genre: Journal Article

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IJMPD15_2006_2217.pdf (Publisher version), 132KB
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0611314.pdf (Preprint), 342KB
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 Creators:
Bizon, Piotr1, Author
Schmidt, Bernd G.1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: It 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. Comment of the Author: received "honorable mention" in 2006 Gravity Research Foundation essay contest

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 Dates: 2006
 Publication Status: Published in print
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Title: International Journal of Modern Physics D
Source Genre: Journal
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Pages: - Volume / Issue: 15 Sequence Number: - Start / End Page: 2217 - 2222 Identifier: -