Noncommutative geometry inspired rotating black string

Singh, Dharm Veer; Ali, Sabir; Ghosh, Sushant G.

doi:10.1142/s0218271818501080

Cited by 28 publications

(27 citation statements)

References 38 publications

(67 reference statements)

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“…This is a general feature of noncommutative theories of gravitation (see for example [43][44][45][46][47][48][49][50][51]62]). Results here obtained are at the order L 2 due to the fact that calculations are performed in spherical coordinates 5 [72,118,[120][121][122][123] (in Cartesian coordinates, 6 hence in the standard canonical quantization, the non-commutative parameter 2 has dimensions L 4 ).…”

Section: μν -Schwarzschild Metricmentioning

confidence: 84%

“…00 (r H ) = 0, and the solution is r H = 5 Typically, in spherical coordinates one uses the notation √ , with dimensions L [72,118,[120][121][122][123]]. 6 It is worth to mention that in the case of modifications of the BTZ black hole in three-dimensional anti-de Sitter (Ad S 3 ) [124], the commutation relations are [r, φ] = iθ , withθ ≡ θ r φ .…”

Section: Temperature Shift From the Deformed Schwarzschild Metricmentioning

confidence: 99%

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Noncommutative Schwarzschild geometry and generalized uncertainty principle

et al. 2019

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We discuss a possible link between the deformation parameter μν arising in the framework of noncommutative geometry and the parameter β of the generalized uncertainty principle (GUP). We compute the shift of the Hawking temperature induced by the μν -deformed Schwarzschild geometry, and then we relate it to one obtained by GUP. Results suggest a granular structure of specetime at the Planck scales. The current bounds on β allow to constraint the noncommutative parameter μν .

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Section: μν -Schwarzschild Metricmentioning

confidence: 84%

Section: Temperature Shift From the Deformed Schwarzschild Metricmentioning

confidence: 99%

Noncommutative Schwarzschild geometry and generalized uncertainty principle

et al. 2019

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“…0.8 The charged black string [8,16] can be obtained by choosing w q = 1/3, and the black string surrounded by cloud of strings for w q = −1/3. The metric (20) has many properties similar to the Kerr metric on equatorial plane [8]. For N q = −1/l 2 , the cosmological constant term disappears from the solution and we get no black string.…”

Section: Rotating Black String Solutionmentioning

confidence: 79%

“…Interestingly, even in the absence of the cosmological constant (1/l 2 = 0), one can obtain a black string solution when quintessence state parameter w q = −1. It turns out that, unlike Kerr black hole, the rotating black string (20) admits just one horizon except for the charge black string. Thus, the extremal black string with degenerate horizons is possible only for the charged black string.…”

Section: Discussionmentioning

confidence: 99%

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Black string surrounded by a static anisotropic quintessence fluid

2020

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A black string is a solution of the four-dimensional general relativity in cylindrical symmetric anti-de Sitter (AdS) spacetime pioneered by Lemos [6]. We obtain an exact rotating black string surrounded by quintessence matter in anti-de Sitter (AdS) spacetime and analyze its properties.The solution has an additional parameter N q due to background quintessence matter and it also depends on quintessence state parameter w q . Our rotating solution encompasses the Lemos black string [6], which can be recovered in the absence of background matter (N q = 0). The special case of rotating charged black string (w q = 1/3) has both Cauchy and event horizons. We find that thermodynamic quantities mass, temperature, entropy and heat capacity get corrected due to quintessence background. The counterterm method is utilized to calculate the associated conserved quantities to conclude that the first law of thermodynamics is satisfied. The cloud of strings background (w q = −1/3) has been included as a special case.

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Particle acceleration of two general particles in the background of rotating Ayón-Beato-García black holes

Ahmed¹,

Amir²,

Ghosh³

2019

Astrophys Space Sci

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The rotating Ayón-Beato-García (ABG) black holes, apart from mass (M ) and rotation parameter (a), has an additional charge Q and encompassed the Kerr black hole as particular case when Q = 0. We demonstrate the ergoregions of rotating ABG black holes depend on both rotation parameter a and charge Q, and the area of the ergoregions increases with increase in the values of Q, when compared with the Kerr black hole and the extremal regular black hole changes with the value of Q. Banãdos, Silk and West (BSW) demonstrated that an extremal Kerr black hole can act as a particle accelerator with arbitrarily high center-of-mass energy (E CM ) when the collision takes place at any point in the ergoregion and thus in turn provides a suitable framework for Plank-scale physics. We study the collision of two general particles with different masses falling freely from rest in the equatorial plane of a rotating ABG black hole near the event horizon and find that the E CM of two colliding particles is arbitrarily high when one of the particles take a critical value of angular momentum in the extremal case, whereas for nonextremal case E CM for a pair of colliding particles is generically divergent at the inner horizon, and explicitly studying the effect of charge Q on the E CM for ABG black hole. In particular, our results in the limit Q → 0 reduce exactly to vis-à-vis those of the Kerr black hole.

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Noncommutative geometry inspired rotating black string

Cited by 28 publications

References 38 publications

Noncommutative Schwarzschild geometry and generalized uncertainty principle

Noncommutative Schwarzschild geometry and generalized uncertainty principle

Black string surrounded by a static anisotropic quintessence fluid

Particle acceleration of two general particles in the background of rotating Ayón-Beato-García black holes

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