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Generalized boundary conditions in closed cosmologies

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arxiv 2303.04007 v2 pith:3GYCNW5L submitted 2023-03-07 gr-qc

David Brizuela , Marco de Cesare This is my paper · ORCID
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keywords boundaryconditionsactionbackgroundclosedcosmologicalcovariantboundaries
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Considering a generalization of the Gibbons-Hawking-York covariant boundary action that depends on both the extrinsic and the intrinsic geometry of the boundary, we derive boundary conditions for the cosmological background and tensor perturbations in a closed universe with space-like boundaries. We also give a general method to reconstruct the covariant boundary action starting from a given set of boundary conditions for the cosmological background. These results may be of special relevance in the context of the path-integral formulation of quantum cosmology, where boundary terms contain essential physical information of the system.

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