Mass and spin of Kerr black holes in terms of observational quantities: The dragging effect on the redshift

Banerjee, Pritam; Herrera–Aguilar, Alfredo; Momennia, Mehrab; Nucamendi, Ulises

doi:10.1103/physrevd.105.124037

Cited by 9 publications

(3 citation statements)

References 31 publications

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“…This information is encoded in the frequency shift of these photons, denoted as z dRN 1,2 in Equation (55), which is directly observable. Consequently, by performing a statistical fit [49,[51][52][53] or solving an inverse problem, as demonstrated in [54], the set of spacetime parameters M, Q, , Λ can be estimated. In other words, Equation ( 55) enables the extraction of the spacetime properties characterized by the black hole mass M, electric charge Q, deformation , and cosmological constant Λ through the measurement of frequency shifts in the photons, z dRN 1,2 .…”

Section: R)mentioning

confidence: 99%

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Frequency Shift of Photons in the Spacetime of Deformed RN BH

et al. 2023

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The motion of photons and the frequency shift of photons emitted by particles orbiting the central black hole described by the deformed Reissner–Nordström spacetime metric is investigated. It has been shown that in spacetime, two stable photon spheres are formed due to the gravitational attraction of photons by the central gravitating compact object. It has been found that as spacetime parameters increase, charge and deformation photon spheres become smaller in size and the effect of the electric charge is stronger than the effect of the deformation parameter. The frequency shift of photons radiated by the particles at the equatorial plane becomes stronger for the smaller values of the deformation parameter and the electric charge of the deformed Reissner–Nordström black hole.

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Section: R)mentioning

confidence: 99%

“…in terms of the frequency shift and H 0 r d product. It is important to mention that if the constant H 0 is set to zero, we obtain the mass formula in terms of R and B derived in [54].…”

Section: R)mentioning

confidence: 99%

Frequency Shift of Photons in the Spacetime of Deformed RN BH

et al. 2023

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“…Motivated by the possible detection of general relativistic effects in these systems, Herrera-Aguilar & Nucamendi (2015) construct a full general relativistic model for a test particle that emits photons moving on a rotating axially symmetric spacetime and further find expressions that link the mass of the BH with observable quantities, i.e. the redshift of the emitted photons (Banerjee et al 2022). In Nucamendi et al (2021) and Villalobos-Ramírez et al (2022) the authors use the mentioned model considering the Schwarzschild metric to estimate the BH parameters and quantify the corresponding gravitational redshift in the megamaser galaxy NGC 4258 and the gigamaser of TXS 2226-184, respectively; the latter being the first BH mass estimation using gigamaser observations.…”

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confidence: 99%

A general relativistic mass-to-distance ratio for a set of megamaser AGN black holes

Villaraos¹,

Gonzalez-Juarez²,

Lizardo-Castro³

et al. 2022

Preprint

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In this work we perform a Bayesian statistical fit to estimate the mass-to-distance ratio and the recessional redshift of 10 different black holes hosted at the centre of active galactic nuclei, namely the galaxies NGC 5765b, NGC 6323, UGC 3789, CGCG 074-064, ESO 558-G009, NGC 2960, NGC 6264, NGC 4388, J0437+2456 and NGC 2273. Our general relativistic method makes use of the positions in the sky and frequency shift observations of water megamasers circularly orbiting the central black hole on their accretion disks. This approach also allows us to quantify the gravitational redshift which is not considered in a Newtonian analysis. The gravitational redshift of the megamasers closest to the black hole is found to be within the range 1-8 km/s. The order of the fitted black hole masses corresponds to supermassive black holes and lies on the range 10 6 − 10 7 𝑀 .

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Estimating the mass-to-distance ratio for a set of megamaser AGN black holes by employing a general relativistic method

González-Juárez,

Momennia,

Villalobos-Ramírez

et al. 2024

A&A

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Motivated by the recent achievements of a full general relativistic method in determining black hole (BH) parameters, we continue to estimate the mass-to-distance ratio of the supermassive BHs hosted at the core of the active galactic nuclei (AGNs) of the megamaser galaxies NGC 1320, NGC 1194, NGC 5495, and Mrk 1029. Our aim is to study the properties of super massive BHs at the centers of the selected AGNs by using a full general relativistic method that allows us to address the potential detection of relativistic effects within such astrophysical systems. In order to perform statistical estimations with publicly available observational data, we used a general relativistic model that describes BH rotation curves and further employed a Bayesian fitting method. We estimated the mass-to-distance ratio of the aforementioned BHs, their position and the recessional redshifts of the host galaxies produced by both peculiar motion and cosmological expansion of the Universe. Finally, we calculated the gravitational redshift of the closest maser to the BH for each AGN. This gravitational redshift is a general relativistic effect produced by the gravitational field of the BH properly included in the modelling.

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Mass and spin of Kerr black holes in terms of observational quantities: The dragging effect on the redshift

Cited by 9 publications

References 31 publications

Frequency Shift of Photons in the Spacetime of Deformed RN BH

Frequency Shift of Photons in the Spacetime of Deformed RN BH

A general relativistic mass-to-distance ratio for a set of megamaser AGN black holes

Estimating the mass-to-distance ratio for a set of megamaser AGN black holes by employing a general relativistic method

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