| Issue |
EPL
Volume 135, Number 4, August 2021
|
|
|---|---|---|
| Article Number | 48002 | |
| Number of page(s) | 6 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/ac17a2 | |
| Published online | 22 October 2021 | |
The lower sensitivities and the sensitivities of the Schwarzschild metric near the Schwarzschild black hole
(a) molaei_mreza@yahoo.com (corresponding author)
Received: 19 March 2021
Accepted: 26 July 2021
In this paper we define the notion of the lower sensitivity for the pseudo-metrics. We evaluate the lower sensitivities of the Schwarzschild metric when the redial coordinate is near the event horizon. In the black-hole case we find finite lower sensitivity in the direction of time, and infinite lower sensitivities in the other directions. The finiteness of the lower sensitivity of the black hole implies the finiteness of its entropy, which confirms “the recent physical results on black-hole gravitational entropy” mathematically.
© 2021 EPLA
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