2022/03/04 by Marcello Miranda, Daniele Vernieri, Salvatore Capozziello +2 · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Context (archaeology) #Cosmology #Cosmology and Gravitation Theories #Covariant transformation #Dimensional reduction #Field (mathematics) #Field equation #General relativity #Geometry #Gravitation #Mathematical analysis #Mathematical physics #Metric (unit) #Metric tensor #Order (exchange) #Physics #Quantum mechanics #Singularity #Tensor (intrinsic definition) #Theoretical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.3390/universe8030161
published as Universe 2022, 8(3), 161 · 7 pages. Proceedings for the Special Issue "Alternative Gravities and Fundamental Cosmology", matches published version in Universe
openalex publication_date 2022/03/04 · arxiv created 2022/03/09 · arxiv updated 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Big Bang initial singularity problem can be solved by means of bouncing solutions. In the context of extended theories of gravity, we will look for covariant effective actions whose field equations contain up to fourth-order derivatives of the metric tensor. In finding such bouncing solutions, we will make use of an order reduction technique based on a perturbative approach. Reducing the order of the field equations to second-order, we are able to find solutions which are perturbatively close to General Relativity. We will build the covariant effective actions of the resulting order reduced theories.