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2011

On the measure of spacetime and gravity

Dadhich, Naresh

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By following the general guiding principle that nothing should be prescribed or imposed on the universal entity, spacetime, we establish that it is the homogeneity (by which we mean homogeneity and isotropy of space and homogeneity of time) that requires not only a universally constant invariant velocity but also an invariant length given by its constant curvature, $\Lambda$ and spacetime is completely free of dynamics.

Thus $c$ and $\Lambda$ are the only two true constants of the spacetime structure and no other physical constant could claim this degree of fundamentalness.
When matter is introduced, the spacetime becomes inhomogeneous and dynamic, and its curvature then determines by the Bianchi differential identity the equation of motion for the Einstein gravity.
The homogeneity thus demands that the natural state of \textit{free spacetime} is of constant curvature and the cosmological constant thus emerges as a clear prediction which seems to be borne out by the observations of accelerating expansion of the Universe.

On the measure of spacetime and gravity · Around

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Similar

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L. Randall and R. Sundrum, Phys. Rev. Lett. 83
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R. Aldrovandi, J. P. Beltran Almeida and J. G. Pereira, Class.Quant.Grav. 24
2007
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N. Dadhich, Subtle is the gravity, gr-qc/0102009
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N. Dadhich, On the enigmatic Λ \Lambda - a true constant of spacetime, arxiv:1006.1552v2
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N. Dadhich, On the Schwarzschild field, gr-qc/9704068
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N. Dadhich, Universalization as a physical guiding principle, gr-qc/0311028
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Bianchi and C. Rovelli, Why all these prejudices against a constant?, arxiv:1002.3966v3
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N. Dadhich, On the enigmatic Λ \Lambda - the true constant of spacetime, arxiv:1006.1552
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A. Ashtekar, Quantum spacetimes: Beyond the continuum of Minkowski and Einstein, arxiv:0810.0514
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N. Franco, Survey of gravity in non-commutative geometry, arxiv:0904.4456
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Then

S Weinberg, Rev. Mod. Phys. 61
Original
2008
Later among the works it cites.
N. Dadhich, Physics News 39
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2009
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N. Dadhich, Pramana, 74
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2010
Later among the works it cites.
M Ahmed and D Rideout, Phys. Rev. D81
Original
2010
Later among the works it cites.

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