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Non-Linear Lagrangians and Cosmological Theory
Open accessAbstract
In relativistic cosmology the theory of uniform model universes is based on Einstein's equations, which derive from a variational principle the field-Lagrangian L of which is the scalar curvature R to within an arbitrary additive constant. In this work the possibility of taking L to be a more general invariant of the Riemann tensor is contemplated. The consequences of choosing L to be a function ϕ of R alone are tentatively examined under specialized circumstances, with particular attention to an open world-model oscillating between non-singular states. Difficulties revolving about the actual form which ϕ might take are discussed.
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Citations
Cited by
Sotiriou, T. P., & Faraoni, V. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.451 · Cited by 4,519
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Dark torsion as the cosmic speed-up
Bengochea, G. R., & Ferraro, R. (2009) · Physical Review D · doi:10.1103/physrevd.79.124019 · Cited by 1,207
Cosmological tests of modified gravity
Koyama, K. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/4/046902 · Cited by 713
The power of general relativity
Clifton, T., & Barrow, J. D. (2005) · Physical Review D · doi:10.1103/physrevd.72.103005 · Cited by 346
Metadata
- Authors
- Buchdahl, H. A.
- Venue
- Monthly Notices of the Royal Astronomical Society
- Publisher
- Oxford University Press (OUP)
- Published
- 1970-09-01
- Volume
- 150
- Issue
- 1
- Pages
- 1-8
- ISSN
- 0035-8711 (ISSN-L)
- 1365-2966
- OpenAlex
- W2078125471
- Cited by
- 1,429
- References
- 0
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- bronze
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