The variational method, backreactions, and the absorption probability in Wald type problems

Title The variational method, backreactions, and the absorption probability in Wald type problems
Author Düztaş, Koray
Publication Date: 2021-01-19
Publication Place - Springer
Type Periodical
Language English
Digital Yes
Manuscript No
Library: Özyeğin University
Library Asset ID 1434-6044
Record ID f70ba1db-4ecd-4e24-bd68-d2738c709db2
Library Location Natural and Mathematical Sciences
Date 2021-01-19
Sample Text We argue that the variational method in Wald type thought experiments, involves order of magnitude problems when one imposes the fact that δM is inherently a first order quantity itself. One observes that the contribution of the second order perturbations is actually of the fourth order. Therefore backreactions have to be explicitly calculated. Here, we re-consider the overspinning problem for Kerr–Newman black holes interacting with test fields. We calculate the backreaction effects due to the induced increase in the angular velocity of the event horizon, which brings a partial solution to the overspinning problem. To bring an ultimate solution, we argue that the absorption probability should be taken into account in Wald type problems where black holes interact with test fields. This fundamentally alters the course of the analysis of the thought experiments. Due to the fact that a small fraction of the challenging modes is absorbed by the black holes, overspinning is prevented for both nearly extremal and extremal cases. Some extreme cases are easily fixed by backreaction effects. The arguments do not apply to the generic overspinning by fermionic fields for which the absorption probability is positive definite.
DOI 10.1140/epjc/s10052-021-08879-2
Cilt 81
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The variational method, backreactions, and the absorption probability in Wald type problems

Author Düztaş, Koray
Publication Date 2021-01-19
Publication Place - Springer
Type Periodical
Language English
Digital Yes
Manuscript No
Library Özyeğin University
Library Asset ID 1434-6044
Record ID f70ba1db-4ecd-4e24-bd68-d2738c709db2
Library Location Natural and Mathematical Sciences
Date 2021-01-19
Sample Text We argue that the variational method in Wald type thought experiments, involves order of magnitude problems when one imposes the fact that δM is inherently a first order quantity itself. One observes that the contribution of the second order perturbations is actually of the fourth order. Therefore backreactions have to be explicitly calculated. Here, we re-consider the overspinning problem for Kerr–Newman black holes interacting with test fields. We calculate the backreaction effects due to the induced increase in the angular velocity of the event horizon, which brings a partial solution to the overspinning problem. To bring an ultimate solution, we argue that the absorption probability should be taken into account in Wald type problems where black holes interact with test fields. This fundamentally alters the course of the analysis of the thought experiments. Due to the fact that a small fraction of the challenging modes is absorbed by the black holes, overspinning is prevented for both nearly extremal and extremal cases. Some extreme cases are easily fixed by backreaction effects. The arguments do not apply to the generic overspinning by fermionic fields for which the absorption probability is positive definite.
DOI 10.1140/epjc/s10052-021-08879-2
Cilt 81
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