Gravitational action for spacetimes with nonsmooth boundaries

Details Gravitational action for spacetimes with nonsmooth boundaries Gravitational action for spacetimes with nonsmooth boundaries

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.3275h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 8, 15 April 1993, pp.3275-3280

Physics

49

Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

In this paper, I examine the gravitational action for spacetimes with nonsmooth boundaries. By two independent techniques, I derive the contribution to the gravitational action of spacelike and timelike two-surfaces on the boundary at which the unit normal changes discontinuously. I discuss the relationship between constraints imposed at such two-surfaces and their contribution to the gravitational action. I derive the form of the action and the juncture conditions appropriate to cases in which a spacetime includes a singular matter distribution whose world history corresponds to a timelike two-dimensional surface.

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