Universal cosmological solutions in Lovelock gravity
Abstract 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 fo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13695-5 |
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| _version_ | 1832594512392749056 |
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| author | A. V. Nikolaev |
| author_facet | A. V. Nikolaev |
| author_sort | A. V. Nikolaev |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-d3d8544880fb4bbd93f3ba0f232452f1 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-d3d8544880fb4bbd93f3ba0f232452f12025-01-19T12:36:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111210.1140/epjc/s10052-024-13695-5Universal cosmological solutions in Lovelock gravityA. V. Nikolaev0Ulyanovsk State Pedagogical UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-024-13695-5 |
| spellingShingle | A. V. Nikolaev Universal cosmological solutions in Lovelock gravity European Physical Journal C: Particles and Fields |
| title | Universal cosmological solutions in Lovelock gravity |
| title_full | Universal cosmological solutions in Lovelock gravity |
| title_fullStr | Universal cosmological solutions in Lovelock gravity |
| title_full_unstemmed | Universal cosmological solutions in Lovelock gravity |
| title_short | Universal cosmological solutions in Lovelock gravity |
| title_sort | universal cosmological solutions in lovelock gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13695-5 |
| work_keys_str_mv | AT avnikolaev universalcosmologicalsolutionsinlovelockgravity |