Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric

Bufalo, R.; Tureanu, Anca

doi:10.1103/physrevd.92.065017

Cited by 10 publications

(8 citation statements)

References 40 publications

(70 reference statements)

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“…This mapping is similar to the one obtained in [35], where the analogy between the NC version of Schwarzschild black hole and the commutative Reisner-Nordstrom black hole was made.…”

Section: Mapping To a Fictitious Commutative Btz Black Holesupporting

confidence: 77%

Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole

Gupta

Harikumar

Jurić

et al. 2015

J. High Energ. Phys.

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We obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter. We also show that the equations of motion governing these quasinormal modes are identical in form to the equations of motion of a commutative massive scalar field in the background of a fictitious massive spinning BTZ black hole. This results hints at a duality between the commutative and noncommutative systems in the background of a BTZ black hole. Using the obtained results for quasinormal mode frequencies, the area and entropy spectra for the BTZ black hole in the presence of noncommutativity are calculated. In particular, the separations between the neighboring values of these spectra are determined and it is found that they are nonuniform. Therefore, it appears that the noncommutativity leads to a non-equispaced (discrete) area and entropy spectra. ¶ On a leave of absence from the Rudjer Boskovic

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“…This mapping is similar to the one obtained in [35], where the analogy between the NC version of Schwarzschild black hole and the commutative Reisner-Nordstrom black hole was made.…”

Section: Mapping To a Fictitious Commutative Btz Black Holesupporting

confidence: 77%

Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole

Gupta

Harikumar

Jurić

et al. 2015

J. High Energ. Phys.

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“…A common feature is that singularities cannot be avoided, as we found here for multi-fractional black holes. However, from our perspective, the most remarkable thing is that, in all non-commutative black-hole solutions, it is possible to relate non-commutative correction terms to the charges of classical black holes [70]. In particular, the cosmological constant is generated by non-commutative effects.…”

Section: Comparison With Other Exotic Black Holesmentioning

confidence: 99%

Black holes in multi-fractional and Lorentz-violating models

2017

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We study static and radially symmetric black holes in the multi-fractional theories of gravity with q-derivatives and with weighted derivatives, frameworks where the spacetime dimension varies with the probed scale and geometry is characterized by at least one fundamental length . In the q-derivatives scenario, one finds a tiny shift of the event horizon. Schwarzschild black holes can present an additional ring singularity, not present in general relativity, whose radius is proportional to . In the multi-fractional theory with weighted derivatives, there is no such deformation, but non-trivial geometric features generate a cosmological-constant term, leading to a de Sitter–Schwarzschild black hole. For both scenarios, we compute the Hawking temperature and comment on the resulting black-hole thermodynamics. In the case with q-derivatives, black holes can be hotter than usual and possess an additional ring singularity, while in the case with weighted derivatives they have a de Sitter hair of purely geometric origin, which may lead to a solution of the cosmological constant problem similar to that in unimodular gravity. Finally, we compare our findings with other Lorentz-violating models.

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“…It is almost a Gospel that the fundamental concept of space-time is mostly compatible with quantum theory in non-commutative space [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]. However, despite the numerous proposals, the unified quantum theory of gravity lacks any direct experimental evidence.…”

Section: Introductionmentioning

confidence: 99%

Squeezed coherent states for gravitational well in noncommutative space

Patra¹,

Saha

Biswas

2021

Indian J Phys

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Gravitational well is a widely used system for the verification of the quantum weak equivalence principle (WEP). We have studied the quantum gravitational well (GW) under the shed of non-commutative (NC) space so that the results can be utilized for testing the validity of WEP in NC-space. To keep our study widely usable, we have considered both position-position and momentum-momentum non-commutativity. Since coherent state (CS) structure provides a natural bridge between the classical and quantum domain descriptions, the quantum domain validity of purely classical phenomena like free-fall under gravity might be verified with the help of CS. We have constructed CS with the aid of a Lewis-Riesenfeld phase space invariant operator. We deduced the uncertainty relations from the expectation values of the observables and shown that the solutions of the time-dependent Schrödinger equation are squeezed-coherent states.

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Analogy between the Schwarzschild solution in a noncommutative gauge theory and the Reissner-Nordström metric

Cited by 10 publications

References 40 publications

Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole

Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole

Black holes in multi-fractional and Lorentz-violating models

Squeezed coherent states for gravitational well in noncommutative space

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