Quantum amplitudes in black-hole evaporation: Spins 1 and 2
| dc.creator | Farley, A. N. St. J. | |
| dc.creator | D'Eath, P. D. | |
| dc.date | 2007-08-15 | |
| dc.date.accessioned | 2026-07-07T10:38:57Z | |
| dc.date.available | 2026-07-07T10:38:57Z | |
| dc.description | Quantum amplitudes for $s=1$ at Maxwell fields and for $s=2$ linearised gravitational wave perturbations of a spherically symmetric Einstein/massless scalar background, describing gravitational collapse to a black hole, are treated by analogy with a previous treatment of $s=0$ scalar-field perturbations of gravitational collapse at late times. In both the $s=1$ and $s=2$ cases, we isolate suitable 'co-ordinate' variables which can be taken as boundary data on a final space-like hypersurface $Σ_F$. For simplicity, we take the data on an initial pre-collapse surface $Σ_I$ to be exactly spherically symmetric. The (large) Lorentzian proper-time interval between $Σ_{I}, Σ_{F}$, measured at spatial infinity, is denoted by $T$. The complexified classical boundary-value problem is expected to be well-posed, provide that the time interval $T$ has been rotated into the complex: $T\to{\mid}T{\mid}\exp(-iθ)$, for $0<θ\leqπ/2$. We calculate the second-variation classical Lorenztian action $S ^{(2)}_{\rm class}$. Following Feynman, we recover the Lorentzian quantum amplitude by taking the limit as $θ\to 0_+$ of the semi-classical amplitude $\exp(iS^{(2)}_{\rm class})$. The boundary data for $ s=1$ involve the Maxwell magnetic field; the data for $s=2$ involve the magnetic part of the Weyl curvature tensor. The magnetic boundary conditions are related to each other and to the natural $s={1 \over 2}$ boundary conditions by supersymmetry. | |
| dc.identifier | https://arxiv.org/abs/0708.2013 | |
| dc.identifier | http://arxiv.org/abs/0708.2013 | |
| dc.identifier | AnnalsPhys.321:1334-1374,2006 | |
| dc.identifier | doi:10.1016/j.aop.2005.11.011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180865 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Quantum amplitudes in black-hole evaporation: Spins 1 and 2 | |
| dc.type | text |