Palatini frames in scalar–tensor theories of gravity
Abstract A new systematic approach extending the notion of frames to the Palatini scalar–tensor theories of gravity in various dimensions $$n>2$$ n>2 is proposed. We impose frame transformation induced by the group action which includes almost-geodesic and conformal transformations. We charact...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6836-y |
| Summary: | Abstract A new systematic approach extending the notion of frames to the Palatini scalar–tensor theories of gravity in various dimensions $$n>2$$ n>2 is proposed. We impose frame transformation induced by the group action which includes almost-geodesic and conformal transformations. We characterize theories invariant with respect to these transformations dividing them up into solution-equivalent subclasses (group orbits). To this end, invariant characteristics have been introduced. The formalism provides new frames incorporating non-metricity that lead to re-definition of Jordan frames. The case of Palatini F(R)-gravity is considered in more detail. |
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| ISSN: | 1434-6044 1434-6052 |