Generalised hyperbolicity in spacetimes with Lipschitz regularity
Generalised hyperbolicity in spacetimes with Lipschitz regularity
In this paper we obtain general conditions under which the wave equation is wellposed in spacetimes with metrics of Lipschitz regularity. In particular, the results can be applied to spacetimes where there is a loss of regularity on a hypersurface such as shell-crossing singularities, thin shells of matter, and surface layers. This provides a framework for regarding gravitational singularities not as obstructions to the world lines of point-particles, but rather as obstruction to the dynamics of test fields.
1-14
Vickers, James
719cd73f-c462-417d-a341-0b042db88634
Sanchez Sanchez, Yafet, Erasmo
72589503-da03-4d66-9429-f3598ce7681e
February 2017
Vickers, James
719cd73f-c462-417d-a341-0b042db88634
Sanchez Sanchez, Yafet, Erasmo
72589503-da03-4d66-9429-f3598ce7681e
Vickers, James and Sanchez Sanchez, Yafet, Erasmo
(2017)
Generalised hyperbolicity in spacetimes with Lipschitz regularity.
Journal of Mathematical Physics, 58 (2), , [022502].
(doi:10.1063/1.4975216).
Abstract
In this paper we obtain general conditions under which the wave equation is wellposed in spacetimes with metrics of Lipschitz regularity. In particular, the results can be applied to spacetimes where there is a loss of regularity on a hypersurface such as shell-crossing singularities, thin shells of matter, and surface layers. This provides a framework for regarding gravitational singularities not as obstructions to the world lines of point-particles, but rather as obstruction to the dynamics of test fields.
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Lipschitz
- Accepted Manuscript
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1.4975216
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Accepted/In Press date: 18 January 2017
e-pub ahead of print date: 13 February 2017
Published date: February 2017
Identifiers
Local EPrints ID: 406889
URI: http://eprints.soton.ac.uk/id/eprint/406889
ISSN: 0022-2488
PURE UUID: 0dcf656d-a002-4140-92b5-7d506ce617b6
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Date deposited: 25 Mar 2017 02:05
Last modified: 16 Mar 2024 05:08
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Author:
James Vickers
Author:
Yafet, Erasmo Sanchez Sanchez
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