Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes
In Schwarzschild acoustic black hole (SABH) spacetime, we investigate the wave dynamics for the fermions. To this end, we first take into account the Dirac equation in the SABH by employing a null tetrad in the Newman–Penrose (NP) formalism. Then, we consider the Dirac and Rarita–Schwinger equations...
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| Format: | Article |
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MDPI AG
2023-02-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/9/2/108 |
| _version_ | 1797617896710471680 |
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| author | Sara Kanzi İzzet Sakallı |
| author_facet | Sara Kanzi İzzet Sakallı |
| author_sort | Sara Kanzi |
| collection | DOAJ |
| description | In Schwarzschild acoustic black hole (SABH) spacetime, we investigate the wave dynamics for the fermions. To this end, we first take into account the Dirac equation in the SABH by employing a null tetrad in the Newman–Penrose (NP) formalism. Then, we consider the Dirac and Rarita–Schwinger equations, respectively. The field equations are reduced to sets of radial and angular equations. By using the analytical solution of the angular equation set, we decouple the radial wave equations and obtain the one-dimensional Schrödinger-like wave equations with their effective potentials. The obtained effective potentials are graphically depicted and analyzed. Finally, we investigate the fermionic greybody factors (GFs) radiated by the SABH spacetime. A thorough investigation is conducted into how the acoustic tuning parameter affects the GFs of the SABH spacetime. Both the semi-analytic WKB method and bounds for the GFs are used to produce the results, which are shown graphically and discussed. |
| first_indexed | 2024-03-11T08:02:30Z |
| format | Article |
| id | doaj.art-10186549ac5e43eb9defc50d21847261 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-11T08:02:30Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-10186549ac5e43eb9defc50d218472612023-11-16T23:41:03ZengMDPI AGUniverse2218-19972023-02-019210810.3390/universe9020108Fermionic Greybody Factors in Schwarzschild Acoustic Black HolesSara Kanzi0İzzet Sakallı1Faculty of Engineering, Final International University, North Cyprus via Mersin 10, Kyrenia 99320, TurkeyPhysics Department, Eastern Mediterranean University, North Cyprus via Mersin 10, Famagusta 99628, TurkeyIn Schwarzschild acoustic black hole (SABH) spacetime, we investigate the wave dynamics for the fermions. To this end, we first take into account the Dirac equation in the SABH by employing a null tetrad in the Newman–Penrose (NP) formalism. Then, we consider the Dirac and Rarita–Schwinger equations, respectively. The field equations are reduced to sets of radial and angular equations. By using the analytical solution of the angular equation set, we decouple the radial wave equations and obtain the one-dimensional Schrödinger-like wave equations with their effective potentials. The obtained effective potentials are graphically depicted and analyzed. Finally, we investigate the fermionic greybody factors (GFs) radiated by the SABH spacetime. A thorough investigation is conducted into how the acoustic tuning parameter affects the GFs of the SABH spacetime. Both the semi-analytic WKB method and bounds for the GFs are used to produce the results, which are shown graphically and discussed.https://www.mdpi.com/2218-1997/9/2/108acoustic black holesgreybody factorsfermionsDirac equationRarita-Schwinger equationHawking radiation |
| spellingShingle | Sara Kanzi İzzet Sakallı Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes Universe acoustic black holes greybody factors fermions Dirac equation Rarita-Schwinger equation Hawking radiation |
| title | Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes |
| title_full | Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes |
| title_fullStr | Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes |
| title_full_unstemmed | Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes |
| title_short | Fermionic Greybody Factors in Schwarzschild Acoustic Black Holes |
| title_sort | fermionic greybody factors in schwarzschild acoustic black holes |
| topic | acoustic black holes greybody factors fermions Dirac equation Rarita-Schwinger equation Hawking radiation |
| url | https://www.mdpi.com/2218-1997/9/2/108 |
| work_keys_str_mv | AT sarakanzi fermionicgreybodyfactorsinschwarzschildacousticblackholes AT izzetsakallı fermionicgreybodyfactorsinschwarzschildacousticblackholes |