Exotic criticality of the BTZ black hole

Tekincay, Cavit; Dernek, Mustafa; Sucu, Yusuf

doi:10.1140/epjp/s13360-021-01168-7

Cited by 6 publications

(3 citation statements)

References 83 publications

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“…The other applications of the relativistic spin-1 equations can be found in the Refs. [31][32][33][34]. However, we could not find any announced results about the interaction of relativistic spin-1 oscillator, known also as vector boson oscillator, with electromagnetic fields in the literature.…”

Section: Introductionmentioning

confidence: 67%

Effect of internal magnetic flux on a relativistic spin-1 oscillator

Guvendi¹,

Doğan²

2022

Preprint

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We investigate the effect of internal magnetic flux on the charged relativistic spin-1 oscillator in a three dimensional background geometry spanned by a point source. By performing an analytical solution of the spin-1 equation, derived as an excited state of zitterbewegung, we obtain a non-perturbative spectrum in closed-form. We observe that oscillator frequency is altered due to spin coupling since spin of the oscillator is affected by the internal magnetic flux. We show that our results agree well with the previously announced results and then discuss interesting features of the considered system.

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Section: Introductionmentioning

confidence: 67%

Effect of internal magnetic flux on a relativistic spin-1 oscillator

Guvendi¹,

Doğan²

2022

Preprint

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“…( 5) vanishes away, since |g 22 |Y ,θ + i |g 33 |Y ,φ = 0 for the tunneling process [32]. In this context, a study [56] that investigates Hawking tunneling temperature of the BTZ black hole may be of interest. Then, computing the modified radial trajectory, W (s) = W 0 (s) + αW 1 (s) , in eq.…”

Section: Modified Hawking Radiation -mentioning

confidence: 99%

Zitterbewegung particles tunneling from Reissner-Nordström AdS black hole surrounded by quintessence

Tekincay¹,

Geçim²,

Sucu³

2021

EPL

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We study quantum gravity corrections to the thermodynamic quantities of Reissner-Nordström anti-de Sitter black hole surrounded by quintessence by evaluating the Hawking radiation of zitterbewegung particles under the Generalized Uncertainty Principle (GUP) effect. By using the modified Hawking temperature of the black hole, we derive the thermodynamic equation of state and the Helmholtz free energy. We discuss global stability conditions and phase transitions by plotting the P -V and P -T planes. We also assume that the black hole is a heat engine where the Carnot cycle is performed. We observe that the efficiency under the GUP effect is higher than the standard one when attractive Coulomb interaction is considered with the influence of zitterbewegung particles.

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“…All these studies are based on the equivalence of the massless spin-1 particle equation and the Maxwell equations. After these, some recent studies on the spin-1 particle are quantum dynamics of vector bosons (Castro and O Silva 2018;de Oliveira 2016), tunneling properties of vector bosons (Gecim and Sucu 2017a), the generalized uncertainty principle (GUP) effect on vector bosons (Gecim and Sucu 2017b), generalized bosonic oscillator via minimal length uncertainty (Falek and Merad 2010), resonance frequencies of the photon in a cylindrical resonant cavity (Tekincay and Sucu 2018) and the pair production with the Noether charge in 2 + 1 dimensional spacetime backgrounds (Dernek et al 2017). All these studies are important in consequence of the description of the quantum electrodynamical behaviour of the photon.…”

Section: Introductionmentioning

confidence: 99%

Photon in the Earth-ionosphere cavity: Schumann resonances

Sucu

Tekincay

2019

Astrophys Space Sci

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We study a quantum analogy of Schumann resonances by solving massless and massive spin-1 particle equations derived from the Zitterbewegung model in an annular cavity background with poorly conducting walls. We also show that the massless case and the massive case in the m 2 0 → 0 limit are compatible with Maxwell's electromagnetic theory. Furthermore, from the massive case, we predict an upper limit for the mass of the photon of 1.3x10 −50 kg. The bound on the mass of the photon is compatible with the current limit in the literature.

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Exotic criticality of the BTZ black hole

Cited by 6 publications

References 83 publications

Effect of internal magnetic flux on a relativistic spin-1 oscillator

Effect of internal magnetic flux on a relativistic spin-1 oscillator

Zitterbewegung particles tunneling from Reissner-Nordström AdS black hole surrounded by quintessence

Photon in the Earth-ionosphere cavity: Schumann resonances

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