2008/06/18 by Sergey Siparov, Siparov, Sergey, Nicoleta Brinzei +1 · 10 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Differential Geometry Research #Anisotropy #Astrophysics #Classical mechanics #Cosmic microwave background #Cosmology and Gravitation Theories #Einstein #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geodesic #Geometry #Gravitation #Gravitational wave #Isotropy #Mathematical analysis #Mathematics #Physics #Pulsar #Quantum mechanics #Relativity and Gravitational Theory #Scalar (mathematics) #Space time #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.48550/arxiv.0806.3066
published in arXiv (Cornell University) (Cornell University) · 17 pages
openalex publication_date 2008/06/18 · arxiv created 2008/08/02 · arxiv updated 2012/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The specific astrophysical data collected during the last decade causes the need for the modification of the expression for the Einstein-Hilbert action, and several attempts sufficing this need are known. The modification suggested in this paper stems from the possible anisotropy of space-time and this means the natural change of the simplest scalar in the least action principle. To provide the testable support to this idea, the optic-metrical parametric resonance is regarded - an experiment on the galactic scale based on the interaction between the electromagnetic radiation of cosmic masers and periodical gravitational waves emitted by close double systems or pulsars. Since the effect depends on the space-time metric, the possible anisotropy could reveal itself through observations. To give the corresponding theory predicting the corrections to the expected results of the experiment, the specific mathematical formalism of Finsler geometry was chosen. It was found that in case the anisotropy of the space-time exists, the orientation of the astrophysical systems suitable for observations would show it. In the obtained geodesics equation there is a direction dependent term.