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Cosmology with scalar-Euler form coupling
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DOI：10.1088/0264-9381/30/13/135003.png)
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A coupling between the spacetime geometry and a scalar field involving the Euler 4-form can have important consequences in General Relativity. The coupling is a four-dimensional version of the Jackiw-Teitelboim action, in which a scalar couples to the Euler 2-form in two dimensions. In this case, the first-order formalism, in which the vierbein (or the metric) and the spin connection (or the affine connection) are varied independently, is not equivalent to the second-order one, where the geometry is completely determined by the metric. This is because the torsion postulate T-a = 0 is not valid now and one cannot algebraically solve the spin connection from its own field equation. The direct consequence of this obstruction is that the torsion becomes a new source for the metric curvature, and even if the scalar field is varying very slowly over cosmic scales so as to have no observable astronomical effects at the galactic scale, it has important dynamical effects that can give rise to a cosmological evolution radically different from the standard Friedmann-Robertson-Walker-Lemaitre model.
Keyword:
FIELD
1ST-ORDER
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
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