TY - JOUR

T1 - Cosmology in 5D and 4D Einstein–Gauss–Bonnet gravity

AU - Gómez, F.

AU - Lepe, S.

AU - Orozco, V. C.

AU - Salgado, P.

N1 - Funding Information:
This work was supported in part by FONDECYT Grants no. 1180681 and no. 1211219 from the Government of Chile. One of the authors (VCO) was supported by Universidad de Concepción, Chile.
Publisher Copyright:
© 2022, The Author(s).

PY - 2022/10

Y1 - 2022/10

N2 - We consider the five-dimensional Einstein–Gauss–Bonnet gravity, which can be obtained by means of an appropriate choice of coefficients in the five-dimensional Lanczos–Lovelock gravity theory. The Einstein–Gauss–Bonnet field equations for the Friedmann–Lemaître–Robertson–Walker metric are found as well as some of their solutions. The hyperbolicity of the corresponding equations of motion is discussed. A four-dimensional gravity action is obtained from the Gauss–Bonnet gravity using the Randall–Sundrum compactification procedure and then it is studied the implications of the compactification procedure in the cosmological solutions. The same procedure is used to obtain gravity in four dimensions from the five-dimensional AdS–Chern–Simons gravity to then study some cosmological solutions. Some aspects of the construction of the four-dimensional action gravity, as well as a brief review of Lovelock gravity in 5D are considered in an Appendix.

AB - We consider the five-dimensional Einstein–Gauss–Bonnet gravity, which can be obtained by means of an appropriate choice of coefficients in the five-dimensional Lanczos–Lovelock gravity theory. The Einstein–Gauss–Bonnet field equations for the Friedmann–Lemaître–Robertson–Walker metric are found as well as some of their solutions. The hyperbolicity of the corresponding equations of motion is discussed. A four-dimensional gravity action is obtained from the Gauss–Bonnet gravity using the Randall–Sundrum compactification procedure and then it is studied the implications of the compactification procedure in the cosmological solutions. The same procedure is used to obtain gravity in four dimensions from the five-dimensional AdS–Chern–Simons gravity to then study some cosmological solutions. Some aspects of the construction of the four-dimensional action gravity, as well as a brief review of Lovelock gravity in 5D are considered in an Appendix.

UR - http://www.scopus.com/inward/record.url?scp=85139794243&partnerID=8YFLogxK

U2 - 10.1140/epjc/s10052-022-10877-x

DO - 10.1140/epjc/s10052-022-10877-x

M3 - Article

AN - SCOPUS:85139794243

VL - 82

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 10

M1 - 906

ER -