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arXiv · 1810.07860

Stiff Matter Solution in Brans-Dicke Theory and The General Relativity Limit

G. Brando·J. C. Fabris·F. T. Falciano·Olesya Galkina
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Abstract

Generally the Brans-Dicke theory reduces to General Relativity in the limit $\omega\rightarrow\infty$ if the scalar field goes as $\phi\propto1/\omega$. However, it is also known that there are examples with $\phi\propto1/\sqrt{\omega}$ that does not tend to GR. We discuss another case: a homogeneous and isotropic universe filled with stiff matter. The power of time dependence of these solutions do not depend on $\omega$, and there is no General Relativity limit even though we have $\phi\propto1/\omega$. A perturbative analysis of this exotic case is carried out.

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G. Brando, J. C. Fabris, F. T. Falciano, Olesya Galkina. 2018-10-18. Stiff Matter Solution in Brans-Dicke Theory and The General Relativity Limit. https://doi.org/10.1142/s0218271819501566

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