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On the motion of particles in covariant Hořava–Lifshitz gravity and the meaning of the A-field

Abdalla, Elcio ; da Silva, Alan M.

Physics letters. B, 2012-01, Vol.707 (2), p.311-314 [Periódico revisado por pares]

Kidlington: Elsevier B.V

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  • Título:
    On the motion of particles in covariant Hořava–Lifshitz gravity and the meaning of the A-field
  • Autor: Abdalla, Elcio ; da Silva, Alan M.
  • Assuntos: Approximation ; Elementary particles ; Equivalence principle ; Exact sciences and technology ; Gravitation ; Low energy ; Mathematical analysis ; Mathematical models ; Nuclear physics ; Physics ; Scalars ; The physics of elementary particles and fields
  • É parte de: Physics letters. B, 2012-01, Vol.707 (2), p.311-314
  • Notas: ObjectType-Article-2
    SourceType-Scholarly Journals-1
    ObjectType-Feature-1
    content type line 23
  • Descrição: We studied the low energy motion of particles in the general covariant version of Hořava–Lifshitz gravity proposed by Hořava and Melby-Thompson. Using a scalar field coupled to gravity according to the minimal substitution recipe proposed by da Silva and taking the geometrical optics limit, we could write an effective relativistic metric for a general solution. As a result, we discovered that the equivalence principle is not in general recovered at low energies, unless the spatial Laplacian of A vanishes. Finally, we analyzed the motion on the spherical symmetric solution proposed by Hořava and Melby-Thompson, where we could find its effective line element and compute spin-0 geodesics. Using standard methods we have shown that such an effective metric cannot reproduce Newtonʼs gravity law even in the weak gravitational field approximation.
  • Editor: Kidlington: Elsevier B.V
  • Idioma: Inglês
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