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Open AccessFeature PaperArticle

Light-Like Shockwaves in Scalar-Tensor Theories

1
Institute of Physics, University of Szeged, H-6720 Szeged, Hungary
2
Institute of Physics, University of Szeged, H-6720 Szeged, Hungary
*
Author to whom correspondence should be addressed.
Universe 2018, 4(3), 44; https://doi.org/10.3390/universe4030044
Received: 10 December 2017 / Revised: 20 February 2018 / Accepted: 22 February 2018 / Published: 27 February 2018
Both electromagnetic shock-waves and gravitational waves propagate with the speed of light. If they carry significant energy-momentum, this will change the properties of the space-time they propagate through. This can be described in terms of the junction conditions between space-time regions separated by a singular, null hypersurface. We derived generic junction conditions for Brans-Dicke theory in the Jordan frame, exploring a formalism based on a transverse vector, rather than normal, which can be applied to any type of hypersurfaces. In the particular case of a non-null hypersurface we obtain a generalised Lanczos equation, in which the jump of the extrinsic curvature is sourced by both the distributional energy-momentum tensor and by the jump in the transverse derivative of the scalar. In the case of null hypersurfaces, the distributional source is decomposed into surface density, current and pressure. The latter, however, ought to vanish by virtue of the scalar junction condition. View Full-Text
Keywords: space-time junction conditions; Brans-Dicke theory; null hypersurfaces space-time junction conditions; Brans-Dicke theory; null hypersurfaces
MDPI and ACS Style

Racskó, B.; Gergely, L.Á. Light-Like Shockwaves in Scalar-Tensor Theories. Universe 2018, 4, 44.

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