A review of total energy-momenta in GR with a positive cosmological constant

Abstract

A review is given of the various approaches to and expressions for total energy-momentum and mass in the presence of a positive cosmological constant in Einstein's field equations, together with a discussion of the key conceptual questions, main ideas and techniques behind them.

26 pages, nine figures and two references added

References in corpus (5)

• Initial boundary value problems for Einstein's field equations and geometric uniqueness
• Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends
• Positive mass theorems for asymptotically de Sitter spacetimes
• Asymptotically simple spacetimes and mass loss due to gravitational waves
• Penrose's quasi-local mass for asymptotically anti-de Sitter space-times

Cited by in corpus (14)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• (A)dS${}_4$ in Bondi gauge
• Gravitational radiation condition at infinity with a positive cosmological constant
• Asymptotic Structure with a positive cosmological constant
• Energy of weak gravitational waves in spacetimes with a positive cosmological constant
• Covariant canonical formulations of classical field theories
• Conserved charges in asymptotically de Sitter spacetimes
• Asymptotics with a cosmological constant: The solution space
• Charges, conserved quantities and fluxes in de Sitter spacetime
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• Degrees of freedom of gravitational radiation with positive cosmological constant
• Skew-symmetric endomorphisms in ${\mathbb{M}}^{1,n}$: A unified canonical form with applications to conformal geometry
• The Einstein metrics with smooth scri
• News tensor on null hypersurfaces