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2016

Resolving Cosmological Singularities

Chamseddine, Ali H., Mukhanov, Viatcheslav

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We find a simple modification of the longitudinal mode in General Relativity which incorporates the idea of limiting curvature.

In this case the singularities in contracting Friedmann and Kasner universes are avoided, and instead, the universe has a regular bounce which takes place during the time inversely proportional to the square root of the limiting curvature.
Away from the bounce, corrections to General Relativity are negligible.
In addition the non-singluar modification of General Relativity delivers for free a realistic candidate for Dark Matter.

Resolving Cosmological Singularities · Around

Built on

V. Mukhanov and R. Brandenberger, A Nonsingular Universe,
1969
Earlier work this paper cites.
S. W. Hawking and R. Penrose, The singularities of gravitational collapse and cosmology,
1970
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, Cosmolgical event horizons, thermodynamics and particle creation,
1977
Earlier work this paper cites.
L. Landau and E. Lifshitz, The Classical Theory of Fields
1980
Earlier work this paper cites.

Similar

M. Markov, Pis’ma Zh. Eskp. Teor. Fiz. 36
1987
Cited alongside, same era.
V. Mukhanov, R. Brandenberger, and A. Sornborger, A Cosmological Theory without Singularities,
1993
Cited alongside, same era.
A. H. Chamseddine and A. Connes, Scale Invariance in the Spectral Action,
2006
Cited alongside, same era.
A. H. Chamseddine and A. Connes, The Uncanny Precision of the Spectral Action,
2010
Cited alongside, same era.
A. H. Chamseddine, V. Mukhanov, Resolving Cosmological Singularities
Original
Cited in the paper.

Then

A. H. Chamseddine and V. Mukhanov, Mimetic Dark Matter,
2013
Later among the works it cites.
A. H. Chamseddine, V. Mukhanov and A. Vikman, Cosmology with Mimetic Matter,
2014
Later among the works it cites.
A. H. Chamseddine, A. Connes and V. Mukhanov, Quanta of Geometry: Noncommutative Aspects,
2015
Later among the works it cites.

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