New non-linear modified massless Klein–Gordon equation

New non-linear modified massless Klein–Gordon equation

Abstract The massless Klein–Gordon equation on arbitrary curved backgrounds allows for solutions which develop “tails” inside the light cone and, therefore, do not strictly follow null geodesics as discovered by DeWitt and Brehme almost 60 years ago. A modification of the massless Klein–Gordon equat...

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Main Authors: Felipe A. Asenjo, Sergio A. Hojman
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5330-7
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spelling doaj-489d03b64dbf47dd8ad7e59f004fd3692020-11-24T23:45:52ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-11-0177111510.1140/epjc/s10052-017-5330-7New non-linear modified massless Klein–Gordon equationFelipe A. Asenjo0Sergio A. Hojman1UAI Physics Center, Universidad Adolfo IbáñezUAI Physics Center, Universidad Adolfo IbáñezAbstract The massless Klein–Gordon equation on arbitrary curved backgrounds allows for solutions which develop “tails” inside the light cone and, therefore, do not strictly follow null geodesics as discovered by DeWitt and Brehme almost 60 years ago. A modification of the massless Klein–Gordon equation is presented, which always exhibits null geodesic propagation of waves on arbitrary curved spacetimes. This new equation is derived from a Lagrangian which exhibits current–current interaction. Its non-linearity is due to a self-coupling term which is related to the quantum mechanical Bohm potential.http://link.springer.com/article/10.1140/epjc/s10052-017-5330-7
collection DOAJ
language English
format Article
sources DOAJ
author Felipe A. Asenjo
Sergio A. Hojman
spellingShingle Felipe A. Asenjo
Sergio A. Hojman
New non-linear modified massless Klein–Gordon equation
European Physical Journal C: Particles and Fields
author_facet Felipe A. Asenjo
Sergio A. Hojman
author_sort Felipe A. Asenjo
title New non-linear modified massless Klein–Gordon equation
title_short New non-linear modified massless Klein–Gordon equation
title_full New non-linear modified massless Klein–Gordon equation
title_fullStr New non-linear modified massless Klein–Gordon equation
title_full_unstemmed New non-linear modified massless Klein–Gordon equation
title_sort new non-linear modified massless klein–gordon equation
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2017-11-01
description Abstract The massless Klein–Gordon equation on arbitrary curved backgrounds allows for solutions which develop “tails” inside the light cone and, therefore, do not strictly follow null geodesics as discovered by DeWitt and Brehme almost 60 years ago. A modification of the massless Klein–Gordon equation is presented, which always exhibits null geodesic propagation of waves on arbitrary curved spacetimes. This new equation is derived from a Lagrangian which exhibits current–current interaction. Its non-linearity is due to a self-coupling term which is related to the quantum mechanical Bohm potential.
url http://link.springer.com/article/10.1140/epjc/s10052-017-5330-7
work_keys_str_mv AT felipeaasenjo newnonlinearmodifiedmasslesskleingordonequation
AT sergioahojman newnonlinearmodifiedmasslesskleingordonequation
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