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Autori principali:	Giataganas, D., Kehagias, A., Riotto, A.
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory
Accesso online:	https://arxiv.org/abs/2403.10605
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author	Giataganas, D. Kehagias, A. Riotto, A.
author_facet	Giataganas, D. Kehagias, A. Riotto, A.
contents	We study the physics of photon rings in a wide range of axisymmetric black holes admitting a separable Hamilton-Jacobi equation for the geodesics. Utilizing the Killing-Yano tensor, we derive the Penrose limit of the black holes, which describes the physics near the photon ring. The obtained plane wave geometry is directly linked to the frequency matrix of the massless wave equation, as well as the instabilities and Lyapunov exponents of the null geodesics. Consequently, the Lyapunov exponents and frequencies of the photon geodesics, along with the quasinormal modes, can be all extracted from a Hamiltonian in the Penrose limit plane wave metric. Additionally, we explore potential bounds on the Lyapunov exponent, the orbital and precession frequencies, in connection with the corresponding inverted harmonic oscillators and we discuss the possibility of photon rings serving as holographic horizons in a holographic duality framework for astrophysical black holes. Our formalism is applicable to spacetimes encompassing various types of black holes, including stationary ones like Kerr, Kerr-Newman, as well as static black holes such as Schwarzschild, Reissner-Nordström, among others.
format	Preprint
id	arxiv_https___arxiv_org_abs_2403_10605
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Quasinormal Modes and Universality of the Penrose Limit of Black Hole Photon Rings Giataganas, D. Kehagias, A. Riotto, A. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory We study the physics of photon rings in a wide range of axisymmetric black holes admitting a separable Hamilton-Jacobi equation for the geodesics. Utilizing the Killing-Yano tensor, we derive the Penrose limit of the black holes, which describes the physics near the photon ring. The obtained plane wave geometry is directly linked to the frequency matrix of the massless wave equation, as well as the instabilities and Lyapunov exponents of the null geodesics. Consequently, the Lyapunov exponents and frequencies of the photon geodesics, along with the quasinormal modes, can be all extracted from a Hamiltonian in the Penrose limit plane wave metric. Additionally, we explore potential bounds on the Lyapunov exponent, the orbital and precession frequencies, in connection with the corresponding inverted harmonic oscillators and we discuss the possibility of photon rings serving as holographic horizons in a holographic duality framework for astrophysical black holes. Our formalism is applicable to spacetimes encompassing various types of black holes, including stationary ones like Kerr, Kerr-Newman, as well as static black holes such as Schwarzschild, Reissner-Nordström, among others.
title	Quasinormal Modes and Universality of the Penrose Limit of Black Hole Photon Rings
topic	General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Phenomenology High Energy Physics - Theory
url	https://arxiv.org/abs/2403.10605

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