On propagation of energy flux in de Sitter spacetime

Hoque, Sk Jahanur; Virmani, Amitabh

doi:10.1007/s10714-018-2359-3

Cited by 10 publications

(5 citation statements)

References 24 publications

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“…Alternative boundary conditions have been proposed [6,7,11], though they remain less explored. This needs to be contrasted with the recent developments in linearised gravity in de Sitter, where now there is a good control over many calculations [13][14][15][16][17][18].…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Conserved charges in asymptotically de Sitter spacetimes

Aneesh¹,

Hoque²,

Virmani³

2019

Class. Quantum Grav.

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We present a covariant phase space construction of hamiltonian generators of asymptotic symmetries with "Dirichlet" boundary conditions in de Sitter spacetime, extending a previous study of Jäger. We show that the de Sitter charges so defined are identical to those of Ashtekar, Bonga, and Kesavan (ABK). We then present a comparison of ABK charges with other notions of de Sitter charges. We compare ABK charges with counterterm charges, showing that they differ only by a constant offset, which is determined in terms of the boundary metric alone.We also compare ABK charges with charges defined by Kelly and Marolf at spatial infinity of de sitter spacetime. When the formalisms can be compared, we show that the two definitions agree. Finally, we express Kerr-de Sitter metrics in four and five dimensions in an appropriate Fefferman-Graham form.

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Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Conserved charges in asymptotically de Sitter spacetimes

Aneesh¹,

Hoque²,

Virmani³

2019

Class. Quantum Grav.

Self Cite

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“…Most of the results derived here have been summarised in [12]. Further results on, or related to, this problem can be found in [1][2][3]7,24,25,35,42,43,49,51,52].…”

Section: Introductionmentioning

confidence: 88%

On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$

et al. 2021

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We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When $$\varLambda >0$$ Λ > 0 the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman–Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).

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“…Yet another approach, which applies only for sources supporting the short wavelength approximation, as it relies on the Isaacson effective stress-tensor, matches the results in [25] if one identifies the transverse-traceless gauge with a certain projection operation. 10 In [39], the authors employ the symplectic current density of the covariant phase space to show that the integrand in the energy flux expression on the cosmological horizon is same as that on I. This result is interesting as it suggests that at the linearized level propagation of energy flux is along null rays in de Sitter spacetime, despite the fact that gravitational waves themselves have tail terms due to backscattering off the background curvature.…”

Section: A Linearized Gravitymentioning

confidence: 97%