TeVeS gets caught on caustics

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dc.creatorContaldi, Carlo R.
dc.creatorWiseman, Toby
dc.creatorWithers, Benjamin
dc.date2008-02-10
dc.date2008-10-27
dc.date.accessioned2026-07-07T11:55:55Z
dc.date.available2026-07-07T11:55:55Z
dc.descriptionTeVeS 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.
dc.description23 pages,12 figures, matches published version
dc.identifierhttps://arxiv.org/abs/0802.1215
dc.identifierhttp://arxiv.org/abs/0802.1215
dc.identifierPhys.Rev.D78:044034,2008
dc.identifierdoi:10.1103/PhysRevD.78.044034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205409
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleTeVeS gets caught on caustics
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