The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Hidden symmetries, null geodesics, and photon capture in the Sen black hole
Open accessAbstract
Important classes of null geodesics and hidden symmetries in the Sen black hole are investigated. First, we obtain the principal null geodesics and circular photon orbits. Then, an irreducible rank-two Killing tensor and a conformal Killing tensor are derived, which represent the hidden symmetries. Analyzing the properties of Killing tensors, we clarify why the Hamilton-Jacobi and wave equations are separable in this spacetime. We also investigate the gravitational capture of photons by the Sen black hole and compare the result with those by the various charged/rotating black holes and naked singularities in the Kerr-Newman family. For these black holes and naked singularities, we show the capture regions in a two dimensional impact parameter space (or equivalently the ``shadows'' observed at infinity) to form a variety of shapes such as the disk, circle, dot, arc, and their combinations.
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Citations
Cites
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Newman, E., & Penrose, R. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724257 · Cited by 2,702
Shapes and Positions of Black Hole Shadows in Accretion Disks and Spin Parameters of Black Holes
Takahashi, R. (2004) · The Astrophysical Journal · doi:10.1086/422403 · Cited by 305
Vries, A. D. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/1/309 · Cited by 240
Cited by
Measurement of the Kerr spin parameter by observation of a compact object’s shadow
Hioki, K., & Maeda, K.-I. (2009) · Physical Review D · doi:10.1103/physrevd.80.024042 · Cited by 444
Self-citationApparent shape of super-spinning black holes
Bambi, C., & Freese, K. (2009) · Physical Review D · doi:10.1103/physrevd.79.043002 · Cited by 334
Metadata
- Authors
- Hioki, K., & Miyamoto, U.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2008-08-06
- Volume
- 78
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1994845040
- Cited by
- 159
- References
- 3
- FWCI
- 2.73
- Type
- journal article
- Language
- en
- Open access
- green
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