https://doi.org/10.1140/epjp/s13360-025-06258-4
Regular Article
Curvature-driven acceleration and a notion of vacuum in Nash theory
1
School of Advanced Sciences, Vellore Institute of Technology, Tiruvalam Rd, Katpadi, 632014, Vellore, Tamil Nadu, India
2
Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, JD Block, Sector-III, Salt Lake City, 700 106, Kolkata, India
a
soumya.chakrabarti@vit.ac.in
Received:
2
July
2024
Accepted:
26
March
2025
Published online:
24
April
2025
We discuss the cosmological implications in the Nash theory of gravity, where the field equations are derived from a lagrangian quadratic in Ricci invariants. A spatially homogeneous exact solution is found which can serve as a cosmological toy model. The implications of this model (departures from a standard 
CDM cosmology) are compared with standard observational expectations, using a Markov chain Monte Carlo simulation of 
datasets. The Hubble evolution is satisfactory compared to the luminosity distance modulus measurements, and the evolution of deceleration parameter suggests an epoch of deceleration prior to the present acceleration. The redshift of transition is found to be quite satisfactory.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
