Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quadratic Gravity, Double Layers and Non-Conservative Energy-Momentum Tensor

Version 1 : Received: 13 September 2020 / Approved: 16 September 2020 / Online: 16 September 2020 (12:02:23 CEST)

How to cite: Berezin, V.; Dokuchaev, V.; Eroshenko, Y.; Smirnov, A. Quadratic Gravity, Double Layers and Non-Conservative Energy-Momentum Tensor. Preprints 2020, 2020090363 (doi: 10.20944/preprints202009.0363.v1). Berezin, V.; Dokuchaev, V.; Eroshenko, Y.; Smirnov, A. Quadratic Gravity, Double Layers and Non-Conservative Energy-Momentum Tensor. Preprints 2020, 2020090363 (doi: 10.20944/preprints202009.0363.v1).

Abstract

In the present paper we investigate the conservative conditions in Quadratic Gravity. It is shown explicitly that the Bianchi identities lead to the conservative condition of the left-hand-side of the (gravitational) field equation. Therefore, the total energy-momentum tensor is conservative in the bulk (like in General Relativity). However, in Quadratic Gravity it is possible to have singular hupersurfaces separating the bulk regions with different behavior of the matter energy-momentum tensor or different vacua. They require special consideration. We derived the conservative conditions on such singular hypersurfaces and demonstrated the very possibility of the matter creation. In the remaining part of the paper we considered some applications illustrating the obtained results.

Subject Areas

gravitation; General Relativity; quadratic gravity; black holes; cosmology

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.