Godel-Type Metrics in Various Dimensions
arXiv:hep-th/0312290 · doi:10.1088/0264-9381/22/9/003
Abstract
Godel-type metrics are introduced and used in producing charged dust solutions in various dimensions. The key ingredient is a (D-1)-dimensional Riemannian geometry which is then employed in constructing solutions to the Einstein-Maxwell field equations with a dust distribution in D dimensions. The only essential field equation in the procedure turns out to be the source-free Maxwell's equation in the relevant background. Similarly the geodesics of this type of metric are described by the Lorentz force equation for a charged particle in the lower dimensional geometry. It is explicitly shown with several examples that Godel-type metrics can be used in obtaining exact solutions to various supergravity theories and in constructing spacetimes that contain both closed timelike and closed null curves and that contain neither of these. Among the solutions that can be established using non-flat backgrounds, such as the Tangherlini metrics in (D-1)-dimensions, there exists a class which can be interpreted as describing black-hole-type objects in a Godel-like universe.
REVTeX4, 19 pp., no figures, improved and shortened version, note the slight change in the title [accepted for publication in Classical and Quantum Gravity]
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- Closed timelike curves and geodesics of Godel-type metrics
- Gödel Type Metrics in Three Dimensions
- Curvature Properties of Gödel metric
- Spinning Strings, Black Holes and Stable Closed Timelike Geodesics
- Godel-type Metrics in Various Dimensions II: Inclusion of a Dilaton Field
- Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations
- The Dirac Equation in (1+2)-dimensional Gürses space-time backgrounds
- The study of the generalized Klein-Gordon oscillator in the context of the Som-Raychaudhuri space-time
- Stability of Closed Timelike Curves in Goedel Universe
- Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time
- Godel Type Metrics in Einstein-Aether Theory II: Nonflat Background in Arbitrary Dimensions
- Godel Metrics with Chronology Protection in Horndeski Gravities
- PDM Klein-Gordon particles in Som-Raychaudhuri cosmic string spacetime with space-like dislocation and a non-uniform magnetic field: spacetime associated degeneracies, vorticity-energy, and charge-energy correlations
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- Background ambiguity and the Gödel double copy
- Axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity, closed time-like curves and deviation of geodesics
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- New charged dynamical particles in spatially flat FLRW space-times