TeVeS gets caught on caustics
TeVeS gets caught on caustics
TeVeS uses a dynamical vector field with timelike unit norm constraint to specify a preferred local frame. When matter moves slowly in this frame - the so-called quasi-static regime - Modified Newtonian Dynamics (MoND) results. Theories with such vectors (such as Einstein-aether) are prone to the vector dynamics forming singularities which render their classical evolution problematic. Here we analyse the dynamics of the vector in TeVeS in various situations. We find that, quite generically, the vector field develops caustic singularities on time scales of order the gravitational in-fall time. Having shown singularity formation is generic with or without matter, Bekenstein's original formulation of TeVeS appears dynamically problematic. We argue that by modifying the vector field kinetic terms to the more general form used by Einstein-Aether this problem may be avoided.
gr-qc, astro-ph, hep-th
Contaldi, Carlo R.
210baa53-ef56-4479-bea0-591b14568187
Wiseman, Toby
9be56af7-0bf1-4108-a03d-ad82506d990b
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
10 February 2008
Contaldi, Carlo R.
210baa53-ef56-4479-bea0-591b14568187
Wiseman, Toby
9be56af7-0bf1-4108-a03d-ad82506d990b
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Contaldi, Carlo R., Wiseman, Toby and Withers, Benjamin
(2008)
TeVeS gets caught on caustics.
Physical Review D, 78, [044034].
(doi:10.1103/PhysRevD.78.044034).
Abstract
TeVeS uses a dynamical vector field with timelike unit norm constraint to specify a preferred local frame. When matter moves slowly in this frame - the so-called quasi-static regime - Modified Newtonian Dynamics (MoND) results. Theories with such vectors (such as Einstein-aether) are prone to the vector dynamics forming singularities which render their classical evolution problematic. Here we analyse the dynamics of the vector in TeVeS in various situations. We find that, quite generically, the vector field develops caustic singularities on time scales of order the gravitational in-fall time. Having shown singularity formation is generic with or without matter, Bekenstein's original formulation of TeVeS appears dynamically problematic. We argue that by modifying the vector field kinetic terms to the more general form used by Einstein-Aether this problem may be avoided.
Text
0802.1215v3
- Accepted Manuscript
Available under License Other.
Text
PhysRevD.78.044034
- Version of Record
More information
Published date: 10 February 2008
Additional Information:
ArXiv version is 23 pages,12 figures, matches published version
Keywords:
gr-qc, astro-ph, hep-th
Identifiers
Local EPrints ID: 454780
URI: http://eprints.soton.ac.uk/id/eprint/454780
ISSN: 2470-0029
PURE UUID: e0d30887-29fe-40c3-bb0f-e0bcd2b42cff
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Date deposited: 23 Feb 2022 17:35
Last modified: 17 Mar 2024 02:27
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Contributors
Author:
Carlo R. Contaldi
Author:
Toby Wiseman
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