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Kerr-Vaidya metrics are the simplest nonstationary extensions of the Kerr metric. We explore their properties and compare them with the near-horizon limits of the spherically symmetric self-consistent solutions (the ingoing Vaidya metric…

General Relativity and Quantum Cosmology · Physics 2020-12-17 Pravin Kumar Dahal , Daniel R. Terno

The classical Vaidya metric is transformed to the special diagonal coordinates in the case of the linear mass function allowing rather easy treatment. We find the exact analytical expressions for metric functions in these diagonal…

General Relativity and Quantum Cosmology · Physics 2016-06-21 V. A. Berezin , V. I. Dokuchaev , Yu. N. Eroshenko

Kerr-Vaidya metrics are the simplest dynamical axially-symmetric solutions, all of which violate the null energy condition and thus are consistent with the formation of a trapped region in finite time according to distant observers. We…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Pravin K. Dahal , Swayamsiddha Maharana , Fil Simovic , Daniel R. Terno

Regularity of the horizon radius $r_g$ of a collapsing body constrains a limiting form of a spherically-symmetric energy-momentum tensor near it. Its non-zero limit belongs to one of four classes that are distinguished only by two signs. As…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Valentina Baccetti , Robert B. Mann , Sebastian Murk , Daniel R. Terno

We investigate the near horizon geometry of the simplest representative of the class of axisymmetric space-times: the Kerr Vaidya metrics. Kerr Vaidya metrics can be derived from the Vaidya metric by the complex coordinate transformation…

General Relativity and Quantum Cosmology · Physics 2021-01-12 Pravin Kumar Dahal

We investigate the geometrical structure of Vaidya's spacetime in the case of a white hole with decreasing mass, stabilising to a black hole in finite or infinite time or evaporating completely. Our approach relies on a detailed analysis of…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Armand Coudray , Jean-Philippe Nicolas

The Event Horizon Telescope's 2024 observations report a shift in the position angle of the brightness asymmetry in M87*, revealing time variability in the black hole's image. In this analysis, we investigate the time-dependent of a Vaidya…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Yu Liang , Sen Guo , Kai Lin , Yu-Hao Cui , Yu-Xiang Huang , Tao Yu

We prove that there can not be a smooth matching of the Generalized Vaidya metric with an exterior Schwarzschild/Vaidya patch across a finite boundary hypersurface unless the mass function is a function of the null coordinate alone. By…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Soumya Chakrabarti , Naresh Dadhich , Chiranjeeb Singha

The ingoing Vaidya metric is introduced as a model for a non-rotating uncharged black hole emitting Hawking radiation. This metric is expected to capture the physics of the spacetime for radial coordinates up to a small multiple $(>1)$ of…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Julius Piesnack , Klaus Kassner

Realistic black holes are usually dynamical, noticeable or sluggish. The Vaidya metric is a significant and tractable model for simulating a dynamical black hole. In this study, we consider scalar perturbations in a dynamical Vaidya black…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Kai Lin , Yang-Yi Sun , Hongsheng Zhang

The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Lodovico Capuano , Luca Santoni , Enrico Barausse

We consider a non-static evolving version of the regular "black-bounce"/traversable wormhole geometry recently introduced in JCAP02(2019)042 [arXiv:1812.07114 [gr-qc]]. We first re-write the static metric using Eddington-Finkelstein…

General Relativity and Quantum Cosmology · Physics 2019-06-27 Alex Simpson , Prado Martin-Moruno , Matt Visser

We discuss the near singularity region of the linear mass Vaidya metric. In particular we investi- gate the structure in the numerical solutions for the scattering of scalar and electromagnetic metric perturbations from the singularity. In…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Saeede Nafooshe , Martin O'Loughlin

The Vaidya metric serves as a useful model-building tool that captures many essential features of dynamical and/or evaporating black hole spacetimes. Working in a semiclassical setting, we show that in the limit of slow evaporation, a…

General Relativity and Quantum Cosmology · Physics 2023-04-25 Pravin Kumar Dahal , Fil Simovic

We discuss the near singularity region of the linear mass Vaidya metric for massless particles with non-zero angular momentum. In particular we look at massless geodesics with non-zero angular momentum near the vanishing point of a special…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Martin O'Loughlin

It is well known that quasi-local black hole horizons depend on the choice of a time coordinate in a spacetime. This has implications for notions such as the surface of the black hole and also on quasi-local physical quantities such as…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Alex B. Nielsen , Michael Jasiulek , Badri Krishnan , Erik Schnetter

In this paper we derive exact analytical formulas for the evolution of the photon sphere and for the angular radius of the shadow in a special Vaidya spacetime. The Vaidya metric describes a spherically symmetric object that gains or loses…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Jay Solanki , Volker Perlick

The scalar wave equation is considered in the background of a charged Vaidya metric in double null coordinates $(u,v)$ describing a non-stationary charged black hole with varying mass $m(v)$ and charge $q(v)$. The resulting time-dependent…

General Relativity and Quantum Cosmology · Physics 2011-09-28 Cecilia Chirenti , Alberto Saa

In dynamical spacetimes, apparent and event horizons do not coincide. In this paper we propose a geometrical measure of the distance between those horizons and investigate it for the case of the Vaidya spacetime. We show that it is…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Ivan Booth , Jonathan Martin

We consider here scalar and electromagnetic perturbations for the Vaidya metric in double-null coordinates. Such an approach allows one to go a step further in the analysis of quasinormal modes for time-dependent spacetimes. Some recent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Elcio Abdalla , Cecilia B. M. H. Chirenti , Alberto Saa
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