Winding strings and<i>AdS</i><sub>3</sub>black holes

Troost, Jan

doi:10.1088/1126-6708/2002/09/041

Cited by 22 publications

(39 citation statements)

References 56 publications

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“…Although the radial motion for a timelike geodesic (4.11) is sinusoidal, it does not describe an oscillation near the singularity. 5 In Figure 3 we illustrate each type of geodesic. Globally they are quite different, though close to the singularity all geodesics simply look like the aforementioned spirals.…”

Section: Orbits For the Massless Btz Geometrymentioning

confidence: 99%

Geodesic structure of naked singularities in AdS3 spacetime

et al. 2019

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We present a complete study of the geodesics around naked singularities in AdS 3 , the three-dimensional anti-de Sitter spacetime. These stationary spacetimes, characterized by two conserved charges -mass and angular momentum-, are obtained through identifications along spacelike Killing vectors with a fixed point. They are interpreted as massive spinning point particles, and can be viewed as three-dimensional analogues of cosmic strings in four spacetime dimensions. The geodesic equations are completely integrated and the solutions are expressed in terms of elementary functions. We classify different geodesics in terms of their radial bounds, which depend on the constants of motion. Null and spacelike geodesics approach the naked singularity from infinity and either fall into the singularity or wind around and go back to infinity, depending on the values of these constants, except for the extremal and massless cases for which a null geodesic could have a circular orbit. Timelike geodesics never escape to infinity and do not always fall into the singularity, namely, they can be permanently bounded between two radii. The spatial projections of the geodesics (orbits) exhibit self-intersections, whose number is particularly simple for null geodesics. As a particular application, we also compute the lengths of fixed-time spacelike geodesics of the static naked singularity using two different regularizations.

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Section: Orbits For the Massless Btz Geometrymentioning

confidence: 99%

Geodesic structure of naked singularities in AdS3 spacetime

et al. 2019

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“…Fortunately, to obtain the solutions in the extremal case, it is not necessary to solve the equations again. As pointed out in [32], for example, we can simply take the limit of solutions (8.13) and (8.14). Namely,…”

Section: The Extremal Btz Black Holementioning

confidence: 99%

BTZ black hole as a solution of a higher-spin gauge theory in three-dimensional space-time

2007

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“…К счастью, для того чтобы получить решения в экстремальном случае, не нужно решать эти уравне-ния снова. Как было отмечено, например, в [32], можно просто перейти к пределу в общих решениях (8.13) и (8.14). А именно, произведение…”

Section: экстремальная черная дыра бтзunclassified