Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 11 - Sayı: 1

Investigation of the DKP Equation for A Two-Dimensional Black Hole

İki Boyutlu Bir Karadelik için DKP Denkleminin Araştırılması

Pages
147–156
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the harmonic oscillation behavior ofthe system is evaluated

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present study, we firstly investigated the spatial properties of event horizon of a twodimensional black hole.
📊
Key Findings & Data:Then we solve Duffin-Kemmer-Petiau (DKP) equation for such a blackhole metric depending on the signs of spatial variable.
💡
Conclusion & Impact:Finally, the harmonic oscillation behavior ofthe system is evaluated
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present study, we firstly investigated the spatial properties of event horizon of a twodimensional black hole. Then we solve Duffin-Kemmer-Petiau (DKP) equation for such a blackhole metric depending on the signs of spatial variable. After obtaining the exact solutions, wedetermine thermal parameters related to this metric. Finally, the harmonic oscillation behavior ofthe system is evaluated

Özet

Bu çalışmada ilk olarak iki boyutlu bir kara deliğin olay ufkunun uzaysal özellikleri incelendi. Daha sonra böyle bir karadelik metriği için uzaysal değişkenin işaretine bağlı olarak DKP denklemi çözüldü. Tam çözümler elde edildikten sonra bu metrik ile ilişkili ısıl nicelikler belirlendi. Son olarak sistemin harmonik salınım davranışı değerlendirildi.

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Cite This Article

KANGAL, E. E., HAVARE, A. (2022). Investigation of the DKP Equation for A Two-Dimensional Black Hole. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 11 - Sayı: 1, 147–156. https://ajindex.com/articles/390873

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References (20)

  1. Koyama, K., Gravity beyond general relativity, International Journal of Modern Physics D, 27 (15), 1848001, 2018
  2. Gupta, S.N., Gravitation and electromagnetism, Physical Review, 96(6), 1683–1685, 1954
  3. Boulware, D.G., Deser, S., Classical general relativity derived from quantum gravity, Annals of Physics, 89(1), 193–240, 1975
  4. Hawking, S.W., Black holes in general relativity, Communications in Mathematical Physics, 25(2), 152–166, 1972
  5. Hawking, S.W., Black holes and thermodynamics, Physical Review D, 13(2), 191–197, 1976
  6. Teitleboim, C., Gravitation and Hamiltonian structure in two spacetime dimensions, Physics Letters B, 126(2), 41–45, 1983
  7. Jackiw, R., Lower Dimensional Gravity, Nuclear Physics B, 252, 343–356, 1985
  8. Mann, R.B., Shiekh, A., Tarasov, L., Classical and quantum properties of towdimensional black holes, Nuclear Physics B, 341(1),134-154, 1989
  9. Duffin, R.J., On the characteristic matrices of covariant systems, Physical Review, 54, 1114, 1938
  10. Kemmer, N., The particle aspect of meson theory, Proceeding of the Royal Society A, 173, 91-116, 1939
  11. Petiau, G., PhD thesis, Academie Royale de Belgique, Classe des Sciences, Memoires, Collection 8, 1936
  12. Lunardi, J.T., A note on the Duffin-Kemmer-Petiau equation in (1+1) space-time dimensions, Journal of Mathematical Physics, 58, 123501-123505, 2017
  13. Lunardi, J.T., Pimentel, B.M., Teixeiri, R.G., Valverde, J.S., Remarks on Duffin– Kemmer–Petiau theory and gauge invariance, Physics Letter A, 268(3), 165-173, 2000
  14. Sogut, K., Havare, A., Transmission resonances in the Duffin–Kemmer–Petiau equation in (1+1) dimensions for an asymmetric cusp potential, Physica Scripta, 82(4), 045013, 2010
  15. Parker, L., Toms, D.J., Quantum Field Theory in curved spacetime, Cambridge University Press, 2009
  16. Merad, M., DKP equation with smooth potential and position-dependent mass, International Journal of Theoretical Physics, 46, 2105-2118, 2007
  17. Cheraitia, B.B., Boudjedaa, T., Solution of DKP equation in Woods–Saxon potential, Physics Letter A, 338(2), 97-107, 2005
  18. Yasuk, F., Berkdemir, A., Onem, C., Exact Solutions of the Duffin–Kemmer–Petiau Equation for the Deformed Hulthen Potential, Physica Scripta, 71(4), 340-343, 2005
  19. Unal, N., Duffin–Kemmer–Petiau equation, Proca equation and Maxwells equation in (1+1) D, Concepts of Physics, 2, 273, 2005
  20. Unal, N., Path integral quantization of a spinning particle, Foundations of Physics,