Journal
PHYSICS LETTERS B
Volume 822, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2021.136683
Keywords
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Funding
- National Natural Science Foundation of China (NSFC) [12175105, 11575083, 11565017]
- Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (TAPP)
- Fundamental Research Funds for the Central Universities of China [NS2020054]
- Shandong Province Natural Science Foundation [ZR201709220395]
- National Key Research and Development Program of China [2020YFC2201400]
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This paper investigates the explicit calculation of two new types of metrics in the strong field limit, showing that Bozza's original method of choosing integration variables may lead to technical difficulties.
Gravitational lensing is one of the most impressive celestial phenomena, which has interesting behaviors in its strong field limit. Near such limit, Bozza finds that the deflection angle of light is well-approximated by a logarithmic term and a constant term. In this way he explicitly derived the analytic expressions of deflection angles for a few types of black holes. In this paper, we study the explicit calculation to two new types of metrics in the strong field limit: (i) the Schwarzschild metric extended with an additional r(-n) (n >= 3) term in the metric function; (ii) the Reissner-Nordstrom metric extended with an additional r(-6) term in the metric function. With such types of metrics, Bozza's original way of choosing integration variables may lead to technical difficulties in explicitly expressing the deflection angles, and we use a slightly modified version of Bozza's method to circumvent the problem. (C) 2021 The Author(s). Published by Elsevier B.V.
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