Stiff matter solution in Brans–Dicke theory and the general relativity limit

Author:

Brando G.1,Fabris J. C.123,Falciano F. T.14,Galkina Olesya5

Affiliation:

1. PPGCosmo, CCE - Universidade Federal do Espírito Santo, zip 29075-910, Vitória, ES, Brazil

2. Núcleo Cosmo-ufes & Departamento de Física - Universidade Federal, do Espírito Santo, zip 29075-910, Vitória, ES, Brazil

3. National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow 115409, Russia

4. CBPF - Centro Brasileiro de Pesquisas Físicas, Xavier Sigaud st. 150, zip 22290-180, Rio de Janeiro, Brazil

5. PPGFis, CCE - Universidade Federal do Espírito Santo, zip 29075-910, Vitória, ES, Brazil

Abstract

Generally the Brans–Dicke (BD) theory reduces to general relativity (GR) in the limit [Formula: see text] if the scalar field goes as [Formula: see text]. However, it is also known that there are examples with [Formula: see text] 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 does not depend on [Formula: see text], and there is no GR limit even though we have [Formula: see text]. A perturbative and a dynamical system analysis of this exotic case are carried out.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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1. Cosmological solutions in the Brans–Dicke theory via invariants of symmetry groups;International Journal of Geometric Methods in Modern Physics;2024-05-09

2. On the Possibility of a Static Universe;Universe;2024-02-16

3. Qualitative aspects of Kantowski–Sachs cosmologies with cosmological constant and stiff fluid;The European Physical Journal Plus;2023-03-01

4. Some unusual wormholes in general relativity;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2022-03-14

5. Quantum and Classical Cosmology in the Brans–Dicke Theory;Universe;2021-08-05

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