Quantum Mechanical Corrections to the Schwarzschild Black Hole Metric
| Autor: | Bargueño, P., Medina, S. Bravo, Nowakowski, M., Batic, D. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Eur. Phys. Lett. 117, (2017) 60006 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1209/0295-5075/117/60006 |
| Popis: | Motivated by quantum mechanical corrections to the Newtonian potential, which can be translated into an $\hbar$-correction to the $g_{00}$ component of the Schwarzschild metric, we construct a quantum mechanically corrected metric assuming $-g_{00}=g^{rr}$. We show how the Bekenstein black hole entropy $S$ receives its logarithmic contribution provided the quantum mechanical corrections to the metric are negative. In this case the standard horizon at the Schwarzschild radius $r_S$ increases by small terms proportional to $\hbar$ and a remnant of the order of Planck mass emerges. We contrast these results with a positive correction to the metric which, apart from a corrected Schwarzschild horizon, leads to a new purely quantum mechanical horizon. Comment: 14 pages Latex, enlarged version as compared to the published one |
| Databáze: | arXiv |
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