Causal propagation of constraints in bimetric relativity in standard 3+1 form

A bstract The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic co...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2019; no. 10; pp. 1 - 18
Main Author Kocic, Mikica
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2019
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Classical Theories of Gravity
Cones
Cosmology of Theories beyond the SM
Elementary Particles
Evolution
High energy physics
Hyperbolic systems
Mathematical analysis
Physics
Physics and Astronomy
Propagation
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity
Relativity Theory
String Theory
Well posed problems
Classical Theories of Gravity
Cosmology of Theories beyond the SM
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Summary:A bstract The goal of this work was to investigate the propagation of the constraints in the ghost-free bimetric theory where the evolution equations are in standard 3+1 form. It is established that the constraints evolve according to a first-order symmetric hyperbolic system whose characteristic cone consists of the null cones of the two metrics. Consequently, the constraint evolution equations are well-posed, and the constraints stably propagate.
ISSN:1029-8479
1126-6708
1029-8479
DOI:10.1007/JHEP10(2019)219