https://doi.org/10.1140/epjc/s10052-024-13695-5
Regular Article - Theoretical Physics
Universal cosmological solutions in Lovelock gravity
Ulyanovsk State Pedagogical University, Ploschad Lenina 4/5, Ulyanovsk, Russia
Received:
19
August
2024
Accepted:
7
December
2024
Published online:
17
January
2025
This paper explores the Friedmann field equations within the framework of Lovelock gravity, a natural extension of Einstein’s gravity, focusing on both flat and open universes. Utilizing an approach based on independent Riemann tensor components, we derive generalized Friedmann equations for Lovelock gravity and categorize the solutions into Type I and Type II. We identify additional vacuum solutions in a flat universe and present a comprehensive solution for a pressure-free scenario in an open universe, both unique to Lovelock gravity. These findings provide new insights into the cosmological implications of Lovelock gravity and offer a foundation for further exploration into the universe’s evolutionary trajectory.
© The Author(s) 2025
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