Charges, conserved quantities, and fluxes in de Sitter spacetime

Gravitational radiation with Λ>0

“…Inspired by the dictionary between Bondi and Fefferman-Graham gauges [59], the authors used earlier results in Fefferman-Graham gauges to define a new class of asymptotically de Sitter spacetimes. In their follow-up work [60], in order to obtain finite charges and fluxes, these authors introduce a holographic renormalization procedure while all charges and fluxes are naturally finite in this paper and do not require any ad hoc regularization. The latter work also states more clearly that their interest is in spacetimes with compact spatial slices, as opposed to this work.…”

Charged Taub-NUT-de Sitter spacetime in DGP braneworld and its thermodynamics*

“…Particularly, for asymptotically local de Sitter spacetimes, discussions on conservative charges can be found in Refs. [41][42][43][44]. Despite the absence of a surface integral formula for the conservative charge related to the NUT parameter, the authors of [32] have shown that defining leads to a nice generalized Smarr mass formula and can produce the expected entropy as a quarter of the black hole area.…”

One-loop partition function of gravity with leaky boundary conditions

“…[10][11][12][13][14][15]). Leaky boundary conditions can be considered in other types of asymptotics, such as asymptotically flat spacetimes [16][17][18][19][20][21] where they yield the famous Bondi mass loss formula [22,23], at the future boundary of asymptotically dS spacetime [7,8,[24][25][26][27][28], as well as at boundaries located at finite distance [29][30][31][32][33][34][35][36][37].…”