Loop variables in the geometry of a rotating black string

Carvalho, Alexandre M. de M.; Moraes, Fernando; Furtado, C.

doi:10.1088/0264-9381/20/11/308

Cited by 9 publications

(5 citation statements)

References 29 publications

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“…In short, holonomy corresponds to a matrix that represents the parallel transport of vectors, spinors, etc. around a closed path and yields information about the topology or curvature of a given manifold . In recent years, the interest in studying holonomies in quantum system has been directly related to the studies of the holonomic/geometric quantum computation .…”

Section: Discussionmentioning

confidence: 99%

Scalar Aharonov‐Bohm‐type effect induced by Lorentz symmetry breaking effects

2014

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A possible scenario of the Lorentz symmetry violation is discussed based on the arising of geometric quantum phases yielded by the effects of the Lorentz symmetry violation in the CPT-even gauge sector of Standard Model Extension. Analogues of the Anandan quantum phase and the scalar Aharonov-Bohm effect for a neutral particle [J. Anandan, Phys. Lett. A 138, 347 (1989)] are obtained from the parityodd sector of the tensor (k F ) μναβ . Moreover, we build quantum holonomies associated with the analogue of the Anandan quantum phase and discuss a possible analogy with the geometric quantum computation [A. Ekert et al., J. Mod.

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Section: Discussionmentioning

confidence: 99%

Scalar Aharonov‐Bohm‐type effect induced by Lorentz symmetry breaking effects

2014

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“…Moreover, it is possible to relate this (3+1)D solution to the BTZ (2+1)D solution [6]. Moreover, the BTZ solution has drawn attention to several geometric and topological properties such as those studied in [7]. In such initial papers, the black string solution arises from solving the motion equations that result from the Einstein-Hilbert four dimensions action…”

Section: Black Stringmentioning

confidence: 99%

Black String Thermodynamics in Noncommutative Spacetime: Anomaly and Phase Transition

Chakrian¹,

Santos²

2020

Preprint

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Black holes have been a subject of investigation over years not only because they have interesting physical properties, but also because they seem to be the appropriate tool for studying gravity in quantum scale. Although a lot of effort has been made to understand the aspects of spacetime on the quantum scale, the approach which includes noncommutativity of spacetime proves to be promising among several possibilities. In this paper, we use the Hamilton-Jacobi method to study the thermodynamic properties of cylindrical black holes (black strings) in noncommutative spacetime. It is also investigated the behavior of the black string in the presence of back reaction as well as its influence on the system can be understood as an anomaly. This work aims to provide understanding about black strings thermodynamics in noncommutative spacetime since this scale of spacetime is important for the comprehension of the relation between quantum mechanics and general relativity.

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“…In short, a holonomy corresponds to a matrix that represents the parallel transport of vectors, spinors, etc. on a closed path and yields the information about the topology or curvature of a given manifold [45][46][47].…”

Section: Quantum Holonomiesmentioning

confidence: 99%