https://doi.org/10.1140/epjc/s10052-022-10355-4
Regular Article - Theoretical Physics
Dark matter and dark energy from a Kaluza–Klein inspired Brans–Dicke gravity with barotropic fluid
1
Khon Kaen Particle Physics and Cosmology Theory Group (KKPaCT), Department of Physics, Faculty of Science, Khon Kaen University, 123 Mittraphap Rd., 40002, Khon Kaen, Thailand
2
National Astronomical Research Institute of Thailand, 50180, Chiang Mai, Thailand
Received:
12
July
2021
Accepted:
22
April
2022
Published online:
6
May
2022
We study the Kaluza–Klein inspired Brans–Dicke model with barotropic matter. Following from our previous work, the traditional Kaluza–Klein gravity action is introduced with an additional scalar field and 2 gauge fields. The compactification process results in a Brans–Dicke model with a dilaton coupled to the tower of scalar fields whereas a gauge field from 5-dimensional metric forms a set of mutually orthogonal vectors with 2 additional gauge fields. The barotropic matter is then introduced to complete a realistic set up. To demonstrate the analytical solutions of the model, we consider the case in which only 2 lowest modes becoming relevant for physics at low scale. After derivation, equations of motion and Einstein field equations form a set of autonomous system. The dynamical system is analysed to obtain various critical points. Interestingly, by only inclusion of barotropic matter, the model provides us the critical points which capable of determining the presences of dark matter, dark energy and phantom dark energy.
© The Author(s) 2022
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