INVESTIGADORES
DOTTI Gustavo Daniel
artículos
Título:
The wave equation on the extreme Reissner-Nordström black hole
Autor/es:
S. DAIN; G. DOTTI
Revista:
CLASSICAL AND QUANTUM GRAVITY
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2013 p. 1 - 17
ISSN:
0264-9381
Resumen:
We study the scalar wave equation on the open exterior region of an extreme
ReissnerNordstr¨om black hole and prove that, given compactly supported
data on a Cauchy surface orthogonal to the timelike Killing vector field, the
solution, together with its (t, s, θ, φ) derivatives of arbitrary order, s a tortoise
radial coordinate, is bounded by a constant that depends only on the initial data.
Our technique does not allow studying transverse derivatives at the horizon,
which is outside the coordinate patch that we use. However, using previous
results that show that second and higher transverse derivatives at the horizon
of a generic solution grow unbounded along horizon generators, we show that
any such divergence, if present, would be milder for solutions with compact
initial data.