Global Geodesic Properties of Gödel-type SpaceTimes

Bartolo, Rossella; Candela, Anna Maria; Flores, José Luis

doi:10.1007/978-1-4614-4897-6_7

Cited by 1 publication

(3 citation statements)

References 27 publications

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“…Indeed, we can verify this with the help of the theorem proven in Ref. [21]. In the classification of Ref.…”

Section: Geodesics and Completenessmentioning

confidence: 59%

“…Applying Theorem 4.1 of Ref. [21], we observe that since 1 − D(r) + (1 + D(r)) 2 + w 2 (r) −1 is bounded from above, it follows that our geometry, with r ± as its boundary, is geodesically complete.…”

Section: Geodesics and Completenessmentioning

confidence: 78%

“…In the classification of Ref. [21], the family of metrics given in Eq. ( 1) fits the definition of a Gödel-type spacetime provided w 2 (r) + 4D(r) > 0.…”

Section: Geodesics and Completenessmentioning

confidence: 99%

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New spacetimes for rotating dust in ( 2+1 )-dimensional general relativity

Remmen

2018

Phys. Rev. D

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Multi-parameter solutions to the Einstein equations in 2 + 1 dimensions are presented, with stress-energy given by a rotating dust with negative cosmological constant. The matter density is uniform in the corotating frame, and the ratio of the density to the vacuum energy may be freely chosen. The rotation profile of the dust is controlled by two parameters, and the circumference of a circle of a given radius is controlled by two additional parameters. Though locally related to known metrics, the global properties of this class of spacetimes are nontrivial and allow for new and interesting structure, including apparent horizons and closed timelike curves, which can be censored by a certain parameter choice. General members of this class of metrics have two Killing vectors, but parameters can be chosen to enhance the symmetry to four Killing vectors. The causal structure of these geometries, interesting limits, and relationship to the Gödel metric are discussed. An additional solution, with nonuniform dust density in a Gaussian profile and zero cosmological constant, is also presented, and its relation to the uniform-density solutions in a certain limit is discussed.

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“…Indeed, we can verify this with the help of the theorem proven in Ref. [21]. In the classification of Ref.…”

Section: Geodesics and Completenessmentioning

confidence: 59%

Section: Geodesics and Completenessmentioning

confidence: 78%