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Journal article

Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes

Abstract:: It is known that, using the Gaussian beam approximation, one can show that there exist solutions of the wave equation on a general globally hyperbolic Lorentzian manifold whose energy is localised along a given null geodesic for a finite, but arbitrarily long, time. We show that the energy of such a localised solution is determined by the energy of the underlying null geodesic. This result opens the door to various applications of Gaussian beams on Lorentzian manifolds that do not admit a glo...
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Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Sbierski, J. (2015). Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes. Analysis and PDE, 8(6), 1379–1420.

MLA Style

Sbierski, J. “Characterisation of the Energy of Gaussian Beams on Lorentzian Manifolds: with Applications to Black Hole Spacetimes.” Analysis and PDE, vol. 8, no. 6, Mathematical Sciences Publishers, 2015, pp. 1379–420.

Chicago Style

Sbierski, J. 2015. “Characterisation of the Energy of Gaussian Beams on Lorentzian Manifolds: with Applications to Black Hole Spacetimes.” Analysis and PDE 8 (6): 1379–1420.
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Files:: 1311.2477v2.pdf

(Accepted manuscript, pdf, 864.4KB)

Publisher copy:: 10.2140/apde.2015.8.1379

Authors

+ Sbierski, J More by this author

Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Oxford college:

Magdalen College

Role:

Author

Bibliographic Details

Publisher:: Mathematical Sciences Publishers Publisher's website
Journal:: Analysis and PDE Journal website
Volume:: 8
Issue:: 6
Pages:: 1379-1420
Publication date:: 2015-09-05
Acceptance date:: 2015-04-30
DOI:: 10.2140/apde.2015.8.1379
EISSN:: 1948-206X
ISSN:: 2157-5045

Item Description

Keywords:: Journal Article

math.AP

characterisation of energy

Gaussian beams

gr-qc

spacetime

SBTMR
Pubs id:: pubs:819440
UUID:: uuid:cc094a4d-b588-42cb-8ce8-f50a51d29eb5
Local pid:: pubs:819440
Source identifiers:: 819440
Deposit date:: 2018-04-05

Terms of use

Copyright holder:: Mathematical Sciences Publishers
Copyright date:: 2015
Notes:: © 2015 Mathematical Sciences Publishers

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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