Implications of energy conditions on standard static space–times
| Autor: | Bülent Ünal, Fernando Dobarro |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Mathematics - Differential Geometry
Weaving Standards 53C80 FOS: Physical sciences Conformal map 53C21 General Relativity and Quantum Cosmology (gr-qc) Space (mathematics) Curvature General Relativity and Quantum Cosmology Warped Products Harmonic analysis Theory of relativity Standard Static Space-times Convergence (routing) FOS: Mathematics Conjugate Points Sub-harmonic Functions Mathematical Physics Mathematics Applied Mathematics 53C50 Conjugate points Mathematical analysis Mathematical Physics (math-ph) Conformal Hyperbolicity Fourier series Scalar Curvature Map Energy Conditions Differential Geometry (math.DG) Harmonic function Mathematics::Differential Geometry Analysis Scalar curvature |
| Zdroj: | Nonlinear Analysis: Theory, Methods and Applications Nonlinear Analysis, Theory, Methods and Applications |
| ISSN: | 0362-546X |
| DOI: | 10.1016/j.na.2009.04.035 |
| Popis: | In the framework of standard static space times, we state a family of sufficient or necessary conditions for a set of physically reasonable energy and convergence conditions in relativity and related theories. We concentrate our study on questions about the sub-harmonicity of the warping function, the scalar curvature map, conformal hyperbolicity, conjugate points and the time-like diameter of this class of space-times. Comment: 32 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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