The massive wave equation in asymptotically AdS spacetimes
File(s)1202.3445v3.pdf (294.99 KB)
Accepted version
Author(s)
Warnick, CM
Type
Journal Article
Abstract
We consider the massive wave equation on asymptotically AdS spaces. We show that the timelike FF behaves like a finite timelike boundary, on which one may impose the equivalent of Dirichlet, Neumann or Robin conditions for a range of (negative) mass parameter which includes the conformally coupled case. We demonstrate well posedness for the associated initial-boundary value problems at the H 1 level of regularity. We also prove that higher regularity may be obtained, together with an asymptotic expansion for the field near FF. The proofs rely on energy methods, tailored to the modified energy introduced by Breitenlohner and Freedman. We do not assume the spacetime is stationary, nor that the wave equation separates.
Date Issued
2013-05-03
Date Acceptance
2013-05-03
Citation
Communications in Mathematical Physics, 2013, 321 (1), pp.85-111
ISSN
1432-0916
Publisher
Springer Verlag
Start Page
85
End Page
111
Journal / Book Title
Communications in Mathematical Physics
Volume
321
Issue
1
Copyright Statement
© Springer-Verlag 2013. The final publication is available at Springer via http://dx.doi.org/10.1007/s00220-013-1720-3
Subjects
Mathematical Physics
0105 Mathematical Physics
0206 Quantum Physics
0101 Pure Mathematics
Publication Status
Published