Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole
We construct an effective four-dimensional string-corrected black hole (4D SCBH) by rescaling the string coupling parameter in a <i>D</i>-dimensional Callan–Myers–Perry black hole. From the theoretical point of view, the most interesting findings are that the string corrections coincide...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
|
| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/8/3/194 |
| _version_ | 1797441197745111040 |
|---|---|
| author | Kimet Jusufi Dejan Stojkovic |
| author_facet | Kimet Jusufi Dejan Stojkovic |
| author_sort | Kimet Jusufi |
| collection | DOAJ |
| description | We construct an effective four-dimensional string-corrected black hole (4D SCBH) by rescaling the string coupling parameter in a <i>D</i>-dimensional Callan–Myers–Perry black hole. From the theoretical point of view, the most interesting findings are that the string corrections coincide with the so-called generalized uncertainty principle (GUP) corrections to black hole solutions, Bekenstein–Hawking entropy acquires logarithmic corrections, and that there exists a critical value of the coupling parameter for which the black hole temperature vanishes. We also find that, due to the string corrections, the nature of the central singularity may be altered from space-like to time-like singularity. In addition, we study the possibility of testing such a black hole with astrophysical observations. Since the dilaton field does not decouple from the metric, it is not a priori clear that the resulting 4D SCBH offers only small corrections to the Schwarzschild black hole. We used motion of the S2 star around the black hole at the center of our galaxy to constrain the parameters (the string coupling parameter and ADM mass) of the 4D SCBH. To test the weak gravity regime, we calculate the deflection angle in this geometry and apply it to gravitational lensing. To test the strong field regime, we calculate the black hole shadow radius. While we find that the observables change as we change the string coupling parameter, the magnitude of the change is too small to distinguish it from the Schwarzschild black hole. With the current precision, to the leading order terms, the 4D SCBH cannot be distinguished from the Schwarzschild black hole. |
| first_indexed | 2024-03-09T12:20:32Z |
| format | Article |
| id | doaj.art-1b73b6392b834d91a02947dd51fa008c |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:20:32Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-1b73b6392b834d91a02947dd51fa008c2023-11-30T22:41:06ZengMDPI AGUniverse2218-19972022-03-018319410.3390/universe8030194Theory and Phenomenology of a Four-Dimensional String–Corrected Black HoleKimet Jusufi0Dejan Stojkovic1Physics Department, State University of Tetovo, Ilinden Street nn, 1200 Tetovo, North MacedoniaHEPCOS, Department of Physics, State University of New York (SUNY) at Buffalo, Buffalo, NY 14260-1500, USAWe construct an effective four-dimensional string-corrected black hole (4D SCBH) by rescaling the string coupling parameter in a <i>D</i>-dimensional Callan–Myers–Perry black hole. From the theoretical point of view, the most interesting findings are that the string corrections coincide with the so-called generalized uncertainty principle (GUP) corrections to black hole solutions, Bekenstein–Hawking entropy acquires logarithmic corrections, and that there exists a critical value of the coupling parameter for which the black hole temperature vanishes. We also find that, due to the string corrections, the nature of the central singularity may be altered from space-like to time-like singularity. In addition, we study the possibility of testing such a black hole with astrophysical observations. Since the dilaton field does not decouple from the metric, it is not a priori clear that the resulting 4D SCBH offers only small corrections to the Schwarzschild black hole. We used motion of the S2 star around the black hole at the center of our galaxy to constrain the parameters (the string coupling parameter and ADM mass) of the 4D SCBH. To test the weak gravity regime, we calculate the deflection angle in this geometry and apply it to gravitational lensing. To test the strong field regime, we calculate the black hole shadow radius. While we find that the observables change as we change the string coupling parameter, the magnitude of the change is too small to distinguish it from the Schwarzschild black hole. With the current precision, to the leading order terms, the 4D SCBH cannot be distinguished from the Schwarzschild black hole.https://www.mdpi.com/2218-1997/8/3/194black holesstring correctionsthermodynamicsS2 starblack hole shadows |
| spellingShingle | Kimet Jusufi Dejan Stojkovic Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole Universe black holes string corrections thermodynamics S2 star black hole shadows |
| title | Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole |
| title_full | Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole |
| title_fullStr | Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole |
| title_full_unstemmed | Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole |
| title_short | Theory and Phenomenology of a Four-Dimensional String–Corrected Black Hole |
| title_sort | theory and phenomenology of a four dimensional string corrected black hole |
| topic | black holes string corrections thermodynamics S2 star black hole shadows |
| url | https://www.mdpi.com/2218-1997/8/3/194 |
| work_keys_str_mv | AT kimetjusufi theoryandphenomenologyofafourdimensionalstringcorrectedblackhole AT dejanstojkovic theoryandphenomenologyofafourdimensionalstringcorrectedblackhole |