On Torsion-free Vacuum Solutions of the Model of de Sitter Gauge Theory of Gravity (II)

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Scientific paper

10.1007/s11467-009-0063-1

It is shown that all torsion-free vacuum solutions of the model of dS gauge theory of gravity are the vacuum solutions of Einstein field equations with the same positive cosmological constant. Furthermore, for the gravitational theories with more general quadratic gravitational Lagrangian ($F^2+T^2$), the torsion-free vacuum solutions are also the vacuum solutions of Einstein field equations.

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