Dynamical horizon explained
In theoretical physics, a dynamical horizon (DH) is a local description (i.e. independent of the global structure of space–time) of evolving black-hole horizons. In the literature there exist two different mathematical formulations of DHs—the 2+2 formulation developed first by Sean Hayward and the 3+1 formulation developed by Abhay Ashtekar and others (see). It provides a description of a black hole that is evolving (e.g. one that has a non-zero mass–energy influx). A related formalism, for black holes with zero influx, is an isolated horizon.
Formal definition
The formal definition of a dynamical horizon is as follows:
See also
References
Sources used
- Book: Differential geometry of lightlike submanifolds. Krishan L.. Duggal. Bayram. Şahin. Springer. 2010. 978-3-0346-0250-1. Dynamical horizons.
Further reading
Broad outlines
Major papers
- Abhay. Ashtekar. Abhay Ashtekar. Badri. Krishnan. Isolated and Dynamical Horizons and Their Applications. Living Reviews in Relativity. 7. 2004. 1. gr-qc/0407042v3. 2004LRR.....7...10A. 10.12942/lrr-2004-10. 28163644. 5253930. 10. free .
- Phys. Rev. D. 74. 2006. 2. 10.1103/PhysRevD.74.024028. gr-qc/0604015v2. Introduction to dynamical horizons in numerical relativity. Erik. Schnetter. Badri. Krishnan. Florian. Beyer. 024028. 2006PhRvD..74b4028S . 35349561.
Other work
- gr-qc/0503109. Abhay. Ashtekar. Abhay Ashtekar. Gregory J.. Galloway. Some uniqueness results for dynamical horizons. Adv. Theor. Math. Phys.. 9. 2005. 1 - 30. 2005gr.qc.....3109A. 10.4310/atmp.2005.v9.n1.a1 . 7484560.
- J. L.. Jaramillo. E.. Gourgoulhon. 2007. Journal of Physics: Conference Series. 66. 10.1088/1742-6596/66/1/012048. Dynamical horizons in excised black hole evolutions . 1. 2007JPhCS..66a2048J. 012048 . free.
- Robert. Bartnik. James. Isenberg. 2006. Classical and Quantum Gravity. 23. 7. 10.1088/0264-9381/23/7/020. Spherically symmetric dynamical horizons . gr-qc/0512091 . 2006CQGra..23.2559B . 2559–2569 . 12321797.
- Phys. Rev. D. 83. 8. 40 - 44. 2011. Gravitational radiation and angular momentum flux from a slowly rotating dynamical black hole. Wu. Yu-Huei. Wang. Chih-Hung. 10.1103/PhysRevD.83.084044. 2011PhRvD..83h4044W . 1009.3331 . 117028848.
- Shao-Feng. Wu. Xian-Hui. Ge. Peng-Ming. Zhang. Guo-Hong. Yang. Phys. Rev. D. 81. 4. 2010. Dynamical horizon entropy and equilibrium thermodynamics of generalized gravity theories. 044034. 10.1103/PhysRevD.81.044034. 2010PhRvD..81d4034W . 0912.4633 . 118490680.
- gr-qc/0509048v2. Phys. Rev. D. 73. 2006. Dynamical horizon of evaporating black hole in Vaidya spacetime. Shintaro. Sawayama. 6. 064024. 2006PhRvD..73f4024S . 10.1103/PhysRevD.73.064024 .
