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Original version
Rajpoot, S.; Vacaru, S.I.: Geometric methods for constructing cosmological solutions for EYMH systems in two measure, f(R) and massive gravity theories. In: Bianchi, M.; Jantzen, R.T.; Ruffini, R. (Eds.): Proceedings of the Fourteenth Marcel Grossman Meeting On General Relativity, 2018, S. 1239-1243. DOI: https://doi.org/10.1142/9789813226609_0091
Repository version
To cite the version in the repository, please use this identifier:
https://doi.org/10.15488/9250
Files in this item
| Abstract: | |
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A brief summary of the anholonomic frame deformation method, AFDM, for generating exact solutions with generic off-diagonal metrics and generalized nonlinear connections in modified gravity theories, MGTs, is presented. We generalize the method to systems of nonlinear partial differential equations, PDEs, for constructing solutions describing generalized (effective) Einstein-Yang-Mills-Higgs, EYMH, interactions in two measure, f(R) and massive gravity theories. Finally, we speculate on possible applications of such generalized anisotropic and inhomogeneous solutions in modern acceleration cosmology.
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| License of this version: | CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/ |
| Publication type: | BookPart |
| Publishing status: | publishedVersion |
| Publication date: | 2018 |
| Keywords english: | Geometric methods in modified gravity theories and cosmology, Massive gravity, Off-diagonal exact solutions, Two measure theories, Cosmology, Geometry, Partial differential equations, Relativity, Exact solution, Frame deformation, Geometric method, Gravity theory, Measure theory, Nonlinear connections, Nonlinear partial differential equations, Nonlinear equations |
| DDC: | 530 | Physik |
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Fakultät für Mathematik und Physik
Frei zugängliche Publikationen aus der Fakultät für Mathematik und Physik