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  The cosmological time function

Andersson, L., Galloway, G. J., & Howard, R. (1998). The cosmological time function. Classical and Quantum Gravity, 15(2), 309-322.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-596E-0 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-596F-E
Genre: Journal Article

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cosmological-1.pdf (Publisher version), 138KB
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 Creators:
Andersson, Lars1, Author              
Galloway, Gregory J., Author
Howard, Ralph, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: Let be a time-oriented Lorentzian manifold and d the Lorentzian distance on M. The function is the cosmological time function of M, where as usual p< q means that p is in the causal past of q. This function is called regular iff for all q and also along every past inextendible causal curve. If the cosmological time function of a spacetime is regular it has several pleasant consequences: (i) it forces to be globally hyperbolic; (ii) every point of can be connected to the initial singularity by a rest curve (i.e. a timelike geodesic ray that maximizes the distance to the singularity); (iii) the function is a time function in the usual sense; in particular, (iv) is continuous, in fact, locally Lipschitz and the second derivatives of exist almost everywhere.

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Language(s): eng - English
 Dates: 1998-02
 Publication Status: Published in print
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 Rev. Method: -
 Identifiers: eDoc: 330152
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Title: Classical and Quantum Gravity
  Alternative Title : Class. Quant. Grav.
Source Genre: Journal
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Pages: - Volume / Issue: 15 (2) Sequence Number: - Start / End Page: 309 - 322 Identifier: ISSN: 0264-9381