Rotating Black Holes

Compère, Geoffrey

doi:10.1007/978-3-030-04260-8_4

Cited by 1 publication

(1 citation statement)

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“…We now consider the transformation laws for the charges under allowed diffeomorphisms. According to general results [58,59], the change δ ξ Q χ in a conserved and integrable charge Q χ under an allowed infinitesimal diffeomorphism ξ is antisymmetric under ξ ↔ χ and in fact defines a Lie bracket 14 The charges obey the same BMS algebra of the generators, 12 In comparison, this linearity breaks down on t = const slices in the electromagnetic case, where field interaction energy makes a contribution to the mass moment, even at late times [15]. 13 The analytic continuation of the second counter-term S (k) in (4.36) of [31] does not contribute to the charges.…”

Section: Conserved Chargesmentioning

confidence: 99%

An asymptotic framework for gravitational scattering

Compère,

Gralla,

Wei

2023

Class. Quantum Grav.

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Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity i±, future/past null infinity I ±, and spatial infinity i0. We formulate assumptions and definitions such that the five infinities share a single Bondi-Metzner-Sachs (BMS) group of asymptotic symmetries and associated charges. We show how individual ingoing/outgoing massive bodies may be ascribed initial/final BMS charges and derive global conservation laws stating that the change in total charge is balanced by the corresponding radiative flux. This framework provides a foundation for the study of asymptotically flat spacetimes containing ingoing and outgoing massive bodies, i.e., for generalized gravitational scattering. Among the new implications are rigorous definitions for quantities like initial/final spin, scattering angle, and impact parameter in multi-body spacetimes, without the use of any preferred background structure.

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