Geometric methods for constructing cosmological solutions for EYMH systems in two measure, f(R) and massive gravity theories

Originalpublikation

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

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Zusammenfassung:
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.
Lizenzbestimmungen: CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/
Publikationstyp: BookPart
Publikationsstatus: publishedVersion
Erstveröffentlichung: 2018
Schlagwörter (englisch): 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
Fachliche Zuordnung (DDC): 530 | Physik

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