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On Propagation of Energy Flux in de Sitter Spacetime
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In this paper, we explore propagation of energy flux in the future Poincar\'e patch of de Sitter spacetime. We present two results. First, we compute the flux integral of energy using the symplectic current density of the covariant phase space approach on hypersurfaces of constant radial physical distance. Using this computation we show that in the tt-projection, the integrand in the energy flux expression on the cosmological horizon is same as that on the future null infinity. This suggests that propagation of energy flux in de Sitter spacetime is sharp. Second, we relate our energy flux expression in tt-projection to a previously obtained expression using the Isaacson stress-tensor approach. We also comment on the energy flux computation in TT-gauge on hypersurfaces of constant radial physical distance.
Forward citations
Cited by 2 Pith papers
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The $SO(1,4)$ flux-balance laws of de Sitter at quadrupolar order
All ten SO(1,4) flux-balance laws for quadrupolar perturbations around de Sitter are derived, including new linear momentum and boost formulas, and the flat limit is recovered.
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Octupolar Gravitational Radiation in de Sitter Spacetime
The metric perturbation from a localized source in de Sitter spacetime is derived at octupolar order in generalized harmonic gauge, including the cosmological tail, the first extension beyond quadrupole order.
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