On exponential solutions in the Einstein–Gauss–Bonnet cosmology, stability and variation of G
A D -dimensional gravitational model with Gauss–Bonnet and cosmological terms is considered. When an ansatz with a diagonal cosmological metric is adopted, we find new examples of solutions for Λ Λ ≠ 0 and D = 8 with an exponential dependence of the scale factors, which describe expansion of our 3D...
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| Published in | Gravitation & cosmology Vol. 22; no. 3; pp. 245 - 250 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Moscow
Pleiades Publishing
01.07.2016
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| Subjects | |
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| Abstract | A
D
-dimensional gravitational model with Gauss–Bonnet and cosmological terms is considered. When an ansatz with a diagonal cosmological metric is adopted, we find new examples of solutions for Λ Λ ≠ 0 and
D
= 8 with an exponential dependence of the scale factors, which describe expansion of our 3D factor-space and contraction of 4D internal space. We also study the stability of the solutions with static Hubble-like parameters
h
i
and prove that two solutions with Λ = 0 in dimensions
D
= 22, 28, which were found earlier, are stable. For both solutions we find asymptotic relations for the effective gravitational constant. |
|---|---|
| AbstractList | A
D
-dimensional gravitational model with Gauss–Bonnet and cosmological terms is considered. When an ansatz with a diagonal cosmological metric is adopted, we find new examples of solutions for Λ Λ ≠ 0 and
D
= 8 with an exponential dependence of the scale factors, which describe expansion of our 3D factor-space and contraction of 4D internal space. We also study the stability of the solutions with static Hubble-like parameters
h
i
and prove that two solutions with Λ = 0 in dimensions
D
= 22, 28, which were found earlier, are stable. For both solutions we find asymptotic relations for the effective gravitational constant. |
| Author | Kobtsev, A. A. Ernazarov, K. K. Ivashchuk, V. D. |
| Author_xml | – sequence: 1 givenname: K. K. surname: Ernazarov fullname: Ernazarov, K. K. email: kubantai80@mail.ru organization: Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia – sequence: 2 givenname: V. D. surname: Ivashchuk fullname: Ivashchuk, V. D. organization: Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia, Center for Gravitation and Fundamental Metrology, VNIIMS – sequence: 3 givenname: A. A. surname: Kobtsev fullname: Kobtsev, A. A. organization: Moscow Mesons Factory of INR RAS |
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| Title | On exponential solutions in the Einstein–Gauss–Bonnet cosmology, stability and variation of G |
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