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Coincident general relativity
Open accessAbstract
The metric-affine variational principle is applied to generate teleparallel and symmetric teleparallel theories of gravity. From the latter we discover an exceptional class which is consistent with a vanishing affine connection. Based on this remarkable property, this work proposes a simpler geometrical formulation of general relativity that is oblivious to the affine spacetime structure, thus fundamentally depriving gravity of any inertial character. The resulting theory is described by the Hilbert action purged from the boundary term and is more robustly underpinned by the spin-2 field theory, where an extra symmetry is now manifest, possibly related to the double-copy structure of the gravity amplitudes. This construction also provides a novel starting point for modified gravity theories, and the paper presents new and simple generalizations where analytical self-accelerating cosmological solutions arise naturally in the early- and late-time Universe.
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First evidence that non-metricity f(Q) gravity could challenge ΛCDM
Anagnostopoulos, F. K., Basilakos, S., & Saridakis, E. N. (2021) · Physics Letters B · doi:10.1016/j.physletb.2021.136634 · Cited by 303
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Fell, S. D. B., & Heisenberg, L. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac0e47 · Cited by 22
Self-citationBouncing cosmologies in modified gravity with spacetime torsion
Alam, S., Sen, S., & Sengupta, S. (2025) · The European Physical Journal C · doi:10.1140/epjc/s10052-025-15123-8
Metadata
- Authors
- Jiménez, J. B., Heisenberg, L., & Koivisto, T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2018-08-28
- Volume
- 98
- Issue
- 4
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2761148789
- Cited by
- 959
- References
- 0
- FWCI
- 17.62
- Type
- journal article
- Language
- en
- Open access
- green
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- Jiménez, J. B., Heisenberg, L., & Koivisto, T. (2018). Coincident general relativity. Physical Review D. https://doi.org/10.1103/physrevd.98.044048
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