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2011

Possible solution to the main cosmological constant problem

Emelyanov, V., Klinkhamer, F. R.

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A modified-gravity-type model of two hypothetical massless vector fields is presented.

These vector fields are gravitationally coupled to standard matter and an effective cosmological constant.
Considered in a cosmological context, the vector fields dynamically cancel an arbitrary cosmological constant, and flat Minkowski spacetime appears as the limit of attractor-type solutions of the field equations.
Asymptotically, the field equations give rise to a standard Friedmann-Robertson-Walker universe and standard Newtonian gravitational dynamics of small systems.

Possible solution to the main cosmological constant problem · Around

Built on

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(a) H. van Dam and M.J.G. Veltman, “Massive and massless Yang-Mills and gravitational fields,” Nucl. Phys. B 22
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S. Weinberg, “The cosmological constant problem,” Rev. Mod. Phys. 61
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Earlier work this paper cites.
V. Emelyanov and F.R. Klinkhamer, “Vector-field model with compensated cosmological constant and radiation-dominated FRW phase,” Int. J. Mod. Phys. D 21
Original
1995
Earlier work this paper cites.
F. Verhulst, Nonlinear Differential Equations and Dynamical Systems
1996
Earlier work this paper cites.

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A related potential problem of a nonequilibrium background may be the small but nonzero mass of the graviton. This can be most easily seen by considering Eq. (3.4a) of Ref. [ 6 ] , where the nonderivative h ^ \widehat{h} terms then have nonvanishing prefactors in square brackets due to the nonequilibrium background. [A nonderivative h ^ \widehat{h} term also appears in ( 49
Cited in the paper.

Then

A.S. Goldhaber and M.M. Nieto, “Photon and graviton mass limits,” Rev. Mod. Phys. 82
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2010
Later among the works it cites.
F.R. Klinkhamer and G.E. Volovik, “Dynamics of the quantum vacuum: Cosmology as relaxation to the equilibrium state,” J. Phys. Conf. Ser. 314
Original
2011
Closest in time.
V. Emelyanov and F.R. Klinkhamer, “Reconsidering a higher-spin-field solution to the main cosmological constant problem,” Phys. Rev. D 85
Original
2012
Closest in time.
F.R. Klinkhamer, “Inflation and the cosmological constant,” Phys. Rev. D 85
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2012
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