Editorial note to: R. P. Kerr and A. Schild, A new class of vacuum solutions of the Einstein field equations

Krasiński, Andrzej; Verdaguer, Enric; Kerr, R. P.

doi:10.1007/s10714-009-0856-0

Cited by 4 publications

(2 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An alternative derivation, starting from the Kerr-Schild ansatz, appeared earlier [23]. Some of the details of the rather terse Kerr-Schild paper are explained in [24].…”

Section: Kerr ʼS Methods Of Attackmentioning

confidence: 99%

The Kerr metric

Teukolsky

2015

Class. Quantum Grav.

160

131

View full text Add to dashboard Cite

Abstract. This review describes the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years. The review discusses the Penrose process, the four laws of black hole mechanics, uniqueness of the solution, and the no-hair theorems. It also includes Kerr perturbation theory and its application to black hole stability and quasi-normal modes. The Kerr metric's importance in the astrophysics of quasars and accreting stellar-mass black hole systems is detailed. A theme of the review is the "miraculous" nature of the solution, both in describing in a simple analytic formula the most general rotating black hole, and in having unexpected mathematical properties that make many calculations tractable. Also included is a pedagogical derivation of the solution suitable for a first course in general relativity.

show abstract

“…An alternative derivation, starting from the Kerr-Schild ansatz, appeared earlier [23]. Some of the details of the rather terse Kerr-Schild paper are explained in [24].…”

Section: Kerr ʼS Methods Of Attackmentioning

confidence: 99%

The Kerr metric

Teukolsky

2015

Class. Quantum Grav.

160

131

View full text Add to dashboard Cite

show abstract

“…In this simplified toy model we assume that the disk radiates uniformly (each pixel has equal brightness) and isotropically. The spacetime metric as described in Kerr-Schild coordinates with G = c = 1 is [19][20][21][22]…”

Section: Black Hole Shadow Modelmentioning

confidence: 99%

Flares and their echoes can help distinguish photon rings from black holes with space-Earth very long baseline interferometry

Andrianov,

Chernov,

Girin

et al. 2022

Preprint

View full text Add to dashboard Cite

Photon rings near the edge of a black hole shadow is supposed to be a unique tool to validate general relativity and provide reliable measurements of principal black hole parameters: spin and mass. Such measurements are possible though only for nearby supermassive black holes (SMBH) with Space-Earth Very Long Baseline Interferometry (S-VLBI) in the submillimeter wavelength range. For subrings to be distinguished S-EVLBI observations with long baselines at the Lagrangian Sun-Earth L2 libration point are needed. However, the average fluxes of nearby SMBH: Sagittarius A * (Sgr A * ) and M87 * -F ν ∼ 1 Jy, are still insufficient to detect the signal from the photon rings with even such long baselines. We argue that only manifestations of flares in the submillimeter waveband in their accretion disks can reveal observable signals from the photon rings with the S-EVLBI at L2. Such observations will become possible within the planned join program of the Event Horizon Telescope (EHT) and Millimetron Space Observatory (MSO), and within the planned next generation EHT (ngEHT) project. Two different observational tests for photons rings are discussed. The first one involves observations of a time series of responds from subsequent subrings as can be seen in a 1D visibility function within the join EHT-MSO configuration, the second one -measurements of an increase of the angle between subsequent subrings in the 2D VLBI image which can be obtained within the ngEHT project.

show abstract