Publication:
Spherically symmetric double layers in Weyl + Einstein gravity

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1812.08502v1.pdf(222.48 KB)
Дата
2019
Авторы
Berezin, V.
Eroshenko, Y.
Dokuchaev, V.
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Научные группы
Организационные подразделения
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Аннотация
© 2019 World Scientific Publishing Company. We study the matching conditions on singular hypersurfaces in Weyl+Einstein gravity. Unlike General Relativity, the so-called quadratic gravity allows the existence of a double layer, i.e. the derivative of function. This double layer is a purely geometrical phenomenon and it may be treated as the purely gravitational shock wave. The mathematical formalism was elaborated by Senovilla for generic quadratic gravity. We derived the matching conditions for the spherically symmetric singular hypersurface in the Weyl+Einstein gravity. It was found that in the presence of the double layer, the matching conditions contain an arbitrary function. One of the consequences of such freedom is that a trace of the extrinsic curvature tensor of a singular hypersurface is necessarily equal to zero. We suggested that the S0n and Snn components of the surface matter energy-momentum tensor of the shell describe energy flow S0n and momentum transfer Snn of particles produced by the double layer itself. Moreover, the requirement of the zero trace of the extrinsic curvature tensor (mentioned above) implies that Snn = 0, and this fact also supports our suggestion, because it means that for the observer sitting on the shell, particles will be seen created by pairs, and the sum of their momentum transfers must be zero. We found also that the spherically symmetric null double layer in the Weyl+Einstein gravity does not exist at all.
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Berezin, V. Spherically symmetric double layers in Weyl + Einstein gravity / Berezin, V., Eroshenko, Y., Dokuchaev, V. // International Journal of Modern Physics D. - 2019. - 10.1142/S0218271819410074
URI
https://www.doi.org/10.1142/S0218271819410074
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85063746669&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000499722500008
 https://openrepository.mephi.ru/handle/123456789/16854
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