Static cosmological solutions in quadratic gravity
We consider conditions for existence and stability of a static cosmological solution in quadratic gravity. It appears that such a solution for a Universe filled by only one type of perfect fluid is possible in a wide range of the equation of state parameter w and for both positively and negatively s...
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| Veröffentlicht in: | General relativity and gravitation 2021-06, Vol.53 (6), Article 60 |
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| container_title | General relativity and gravitation |
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| creator | Müller, Daniel Toporensky, Alexey |
| description | We consider conditions for existence and stability of a static cosmological solution in quadratic gravity. It appears that such a solution for a Universe filled by only one type of perfect fluid is possible in a wide range of the equation of state parameter
w
and for both positively and negatively spatially curved Universe. We show that the static solution for the negative curvature is always unstable if we require positive energy density of the matter content. On the other hand, a static solution with positive spatial curvature can be stable under certain restrictions. Stability of this solution with respect to isotropic perturbation requires that the coupling constant with the
R
2
therm in the Lagrangian of the theory is positive, and the equations of state parameter
w
is located in a rather narrow interval. Nevertheless, the stability condition does not require violation of the strong energy condition. Taking into account anisotropic perturbations leads to further restrictions on the values of coupling constants and the parameter
w
. |
| doi_str_mv | 10.1007/s10714-021-02830-2 |
| format | Article |
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w
and for both positively and negatively spatially curved Universe. We show that the static solution for the negative curvature is always unstable if we require positive energy density of the matter content. On the other hand, a static solution with positive spatial curvature can be stable under certain restrictions. Stability of this solution with respect to isotropic perturbation requires that the coupling constant with the
R
2
therm in the Lagrangian of the theory is positive, and the equations of state parameter
w
is located in a rather narrow interval. Nevertheless, the stability condition does not require violation of the strong energy condition. Taking into account anisotropic perturbations leads to further restrictions on the values of coupling constants and the parameter
w
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w
and for both positively and negatively spatially curved Universe. We show that the static solution for the negative curvature is always unstable if we require positive energy density of the matter content. On the other hand, a static solution with positive spatial curvature can be stable under certain restrictions. Stability of this solution with respect to isotropic perturbation requires that the coupling constant with the
R
2
therm in the Lagrangian of the theory is positive, and the equations of state parameter
w
is located in a rather narrow interval. Nevertheless, the stability condition does not require violation of the strong energy condition. Taking into account anisotropic perturbations leads to further restrictions on the values of coupling constants and the parameter
w
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w
and for both positively and negatively spatially curved Universe. We show that the static solution for the negative curvature is always unstable if we require positive energy density of the matter content. On the other hand, a static solution with positive spatial curvature can be stable under certain restrictions. Stability of this solution with respect to isotropic perturbation requires that the coupling constant with the
R
2
therm in the Lagrangian of the theory is positive, and the equations of state parameter
w
is located in a rather narrow interval. Nevertheless, the stability condition does not require violation of the strong energy condition. Taking into account anisotropic perturbations leads to further restrictions on the values of coupling constants and the parameter
w
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| language | eng |
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| subjects | Astronomy Astrophysics and Cosmology Classical and Quantum Gravitation Coupling Curvature Differential Geometry Equations of state Flux density Gravity Mathematical analysis Mathematical and Computational Physics Parameters Perturbation Physics Physics and Astronomy Quantum Physics Relativity Theory Research Article Stability Theoretical Universe |
| title | Static cosmological solutions in quadratic gravity |
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