Hamiltonian dynamics of doubly-foliable space-times

Research output: Contribution to journalArticle

Abstract

The 2 + 1 + 1 decomposition of space-time is useful in monitoring the temporal evolution of gravitational perturbations/waves in space-times with a spatial direction singled-out by symmetries. Such an approach based on a perpendicular double foliation has been employed in the framework of dark matter and dark energy-motivated scalar-tensor gravitational theories for the discussion of the odd sector perturbations of spherically-symmetric gravity. For the even sector, however, the perpendicularity has to be suppressed in order to allow for suitable gauge freedom, recovering the 10th metric variable. The 2 + 1 + 1 decomposition of the Einstein-Hilbert action leads to the identification of the canonical pairs, the Hamiltonian and momentum constraints. Hamiltonian dynamics is then derived via Poisson brackets.

Original languageEnglish
Article number9
JournalUniverse
Volume4
Issue number1
DOIs
Publication statusPublished - Jan 2018

Keywords

  • Extrinsic curvature
  • Geometrodynamics
  • Normal fundamental form and scalar
  • Space-time foliation
  • Symmetries

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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