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      Boundary Terms for Causal Sets

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          Abstract

          We propose a family of boundary terms for the action of a causal set with a spacelike boundary. We show that in the continuum limit one recovers the Gibbons-Hawking-York boundary term in the mean. We also calculate the continuum limit of the mean causal set action for an Alexandrov interval in flat spacetime. We find that it is equal to the volume of the codimension-2 intersection of the two light-cone boundaries of the interval.

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          Most cited references 3

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          Action integrals and partition functions in quantum gravity

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            Role of Conformal Three-Geometry in the Dynamics of Gravitation

             James W. York (1972)
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              Gravitational action for spacetimes with nonsmooth boundaries

               Geoff Hayward (1993)
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                Author and article information

                Journal
                2015-02-18
                2015-10-29
                Article
                10.1088/0264-9381/32/20/205004
                1502.05388

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                Class.Quant.Grav. 32 (2015) 20, 205004
                gr-qc

                General relativity & Quantum cosmology

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