Böhmer, Christian G;
Jensko, Erik;
(2024)
A New 2D Formulation of Modified General Relativity.
Fortschritte der Physik
, Article 2300216. 10.1002/prop.202300216.
(In press).
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Abstract
It is well known that the Einstein–Hilbert action in two dimensions is topological and yields an identically vanishing Einstein tensor. Consequently one is faced with difficulties when formulating a non‐trivial gravity model. The authors present a new, intrinsically two‐dimensional, approach to this problem based on the Einstein action. This yields a well defined variational approach which results in new field equations that break diffeomorphism invariance. This proposed approach does not require the introduction of additional scalar fields, nor the use of conformal transformations. However, how including conformal counter terms leads to equivalent results is shown. In doing so, an explanation for why previous approaches worked can be provided. Solutions to the field equations are briefly discussed.
| Type: | Article |
|---|---|
| Title: | A New 2D Formulation of Modified General Relativity |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1002/prop.202300216 |
| Publisher version: | http://dx.doi.org/10.1002/prop.202300216 |
| Language: | English |
| Additional information: | © 2024 The Authors. Fortschritte der Physik published by Wiley-VCH GmbH. This is an open access article under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10190500 |
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