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Related papers: Universal Properties of Light Rings for Stationary…

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It has been established that Black Hole (BH) spacetimes obeying some general set of assumptions always possess, at least, one light ring (per rotation sense) [arXiv:2003.06445]. This theorem was originally established for asymptotically…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Pedro V. P. Cunha , Carlos A. R. Herdeiro , João P. A. Novo

The ringdown and shadow of the astrophysically significant Kerr Black Hole (BH) are both intimately connected to a special set of bound null orbits known as Light Rings (LRs). Does it hold that a generic equilibrium BH must possess such…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Pedro V. P. Cunha , Carlos A. R. Herdeiro

We present a novel theorem regarding light rings in a stationary spacetime with an ergoregion. We prove that any stationary, axisymmetric, and asymptotically flat spacetime in 1 + 3 dimensions with an ergoregion must have at least one light…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Rajes Ghosh , Sudipta Sarkar

We prove the following theorem: axisymmetric, stationary solutions of the Einstein field equations formed from classical gravitational collapse of matter obeying the null energy condition, that are everywhere smooth and ultracompact (i.e.,…

General Relativity and Quantum Cosmology · Physics 2017-12-21 Pedro V. P. Cunha , Emanuele Berti , Carlos A. R. Herdeiro

The existence of light rings in a spacetime is closely related to the existence of black hole horizons and observables such as the ringdown and the shadow. Black holes, compared to nonvacuum ultracompact objects, have rather unique…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Aydin Tavlayan , Bayram Tekin

It has been argued that ultracompact objects, which possess light rings but no horizons, may be unstable against gravitational perturbations. To test this conjecture, we revisit the quasi-black hole solutions, a family of horizonless…

General Relativity and Quantum Cosmology · Physics 2022-01-24 Minyong Guo , Zhen Zhong , Jinguang Wang , Sijie Gao

Ultracompact objects are self-gravitating systems with a light ring. It was recently suggested that fluctuations in the background of these objects are extremely long-lived and might turn unstable at the nonlinear level, if the object is…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Vitor Cardoso , Luis C. B. Crispino , Caio F. B. Macedo , Hirotada Okawa , Paolo Pani

Light rings (LRs) - closed circular orbits of null geodesics - are key features of both black holes and horizonless ultracompact objects. While unstable LRs are relevant for the observation of black hole images, stable LRs have been…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Pedro V. P. Cunha

Non-singular horizonless ultracompact objects provide a simple resolution to the black holes singularity problem. It has been shown that, if these objects are compact enough to exhibit the presence of the light-ring required to mimic the…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Francesco Di Filippo

The standard Black Holes (BHs) in General Relativity, as well as other ultra-compact objects (with or without an event horizon) admit planar circular photon orbits. These light rings (LRs) determine several spacetime properties. For…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Pedro V. P. Cunha , Carlos A. R. Herdeiro , Eugen Radu

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

Ultracompact objects with light-rings (LRs) but without an event horizon could mimic black holes (BHs) in their strong gravity phenomenology. But are such objects dynamically viable? Stationary and axisymmetric ultracompact objects that can…

General Relativity and Quantum Cosmology · Physics 2023-02-10 Pedro V. P. Cunha , Carlos Herdeiro , Eugen Radu , Nicolas Sanchis-Gual

Circular photon orbits have become an attractive topic in recent years. They play extremely important roles in black hole shadows, gravitational lensings, quasi-normal modes, and spacetime topological properties. In our recent work,…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Chenkai Qiao , Ming Li , Donghui Xie , Minyong Guo

The geometry of black hole spacetimes can be probed with exquisite precision in the gravitational-wave window, and possibly also in the optical regime. We study the accretion of bright spots -- objects which emit strongly in the optical or…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Vitor Cardoso , Francisco Duque , Arianna Foschi

We investigate the kinematic topologies of light rings (LRs) and massive particle rings (PRs) encircling spherical and axisymmetric black holes. Our results demonstrate that the global topology number of LRs is consistently -1 for…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Jiayu Yin , Jie Jiang , Ming Zhang

Recently, two types of static black hole models that retain general covariance have been proposed within the Hamiltonian constraint approach to effective quantum gravity (EQG). We have studied the light rings and shadows of these black…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Wentao Liu , Di Wu , Jieci Wang

Stationary, axisymmetric and slowly rotating vacuum spacetimes in the Ho\v{r}ava-Lifshitz (HL) gravity are studied, and shown that, for any given spherical static vacuum solution of the HL theory (of any model, including the ones with an…

High Energy Physics - Theory · Physics 2013-07-11 Anzhong Wang

Using the Ernst formalism, a novel solution of vacuum general relativity (GR) was recently obtained [1], describing a Schwarzschild black hole (BH) immersed in a nonasymptotically flat rotating background, dubbed swirling universe, with the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Zeus S. Moreira , Carlos A. R. Herdeiro , Luís C. B. Crispino

We prove the existence of instabilities for the geometric linear wave equation on extremal Kerr spacetime backgrounds, which describe stationary black holes rotating at their maximally allowed angular velocity. These instabilities can be…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Dejan Gajic

In this work we establish some results concerning the existence of external light rings in extremal black hole spacetimes through the Newman-Penrose formalism. Specifically, assuming conformal flatness, staticity and the null energy…

General Relativity and Quantum Cosmology · Physics 2023-05-24 P. Bargueno
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