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Motivated by recent achievements of a full general relativistic method in estimating the mass-to-distance ratio of supermassive black holes hosted at the core of active galactic nuclei, we introduce the new concept redshift rapidity in…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Mehrab Momennia , Pritam Banerjee , Alfredo Herrera-Aguilar , Ulises Nucamendi

Along the last ten years, a general relativistic method has been developed to generate analytical expressions for the black hole (BH) parameters in terms of observables, namely the frequency shift of photons emitted by orbiting test…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Adriana González-Juárez , Alfredo Herrera-Aguilar

We extract elegant and concise analytic formulae for the mass and rotation parameters of the Kerr black hole as well as its distance from the Earth only in terms of directly measurable quantities of the accretion disk revolving in the black…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Mehrab Momennia

In this work we estimate the parameters of several astrophysical black holes hosted at the core of active galactic nuclei by studying the kinematics of test objects in their accretion disk. First, we derive expressions for the redshift and…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Deborah Villaraos , Alfredo Herrera-Aguilar , Mehrab Momennia , Ulises Nucamendi

In this paper, we employ a general relativistic formalism and develop new theoretical tools that allow us to analytically express the mass and electric charge of the Reissner-Nordstr\"{o}m black hole as well as its distance to a distant…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Gerardo Morales-Herrera , Pablo Ortega-Ruiz , Mehrab Momennia , Alfredo Herrera-Aguilar

In this work, we obtain an expression for the total observational frequency shift of photons emitted by massive geodesic particles circularly orbiting a black hole in a general spherically symmetric background. Our general relations are…

General Relativity and Quantum Cosmology · Physics 2024-03-26 Diego A. Martinez-Valera , Mehrab Momennia , Alfredo Herrera-Aguilar

We extract the Hubble law by the frequency-shift considerations of test particles revolving the Kerr black hole in asymptotically de Sitter spacetime. To this end, we take into account massive geodesic particles circularly orbiting the…

General Relativity and Quantum Cosmology · Physics 2023-05-29 Mehrab Momennia , Alfredo Herrera-Aguilar , Ulises Nucamendi

We propose a theoretical principle to measure the mass, spin and direction of spin axis of Kerr black holes (BHs) through observing 2 quantities of the spinning strong gravitational lens effect of BHs. Those observable quantities are…

High Energy Astrophysical Phenomena · Physics 2017-05-17 Hiromi Saida

We construct from first principles a general relativistic approach to study Schwarzschild black hole (BH) rotation curves and estimate the mass-to-distance ratio of the active galactic nucleus of NGC 4258 in terms of astrophysical…

General Relativity and Quantum Cosmology · Physics 2021-08-16 Ulises Nucamendi , Alfredo Herrera-Aguilar , Raul Lizardo-Castro , Omar Lopez Cruz

The mass and distance of a binary black hole (BBH) are fundamental parameters to measure in gravitational-wave (GW) astronomy. It is well-known that the measurement is affected by cosmological redshift, and recent works also showed that…

High Energy Astrophysical Phenomena · Physics 2023-03-29 Xiaoyue Zhang , Xian Chen

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

Context. 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…

Astrophysics of Galaxies · Physics 2024-09-18 A. González-Juárez , M. Momennia , A. Villalobos-Ramírez , A. Herrera-Aguilar

In this work, we study some characteristics and gravitational signatures of the Schwarzschild black hole immersed in a Hernquist dark matter halo (SBH-HDM). We determine the black hole's remnant radius and mass, which provide useful…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Luis M. Nieto , Farokhnaz Hosseinifar , Kuantay Boshkayev , Soroush Zare , Hassan Hassanabadi

We report on the analysis of the photometric and spectroscopic properties of a sample of 29 low redshift (z<0.6) QSOs for which both HST WFPC2 images and ultraviolet HST FOS spectra are available. For each object we measure the R band…

Astrophysics · Physics 2009-11-11 Marzia Labita , Aldo Treves , Renato Falomo , Michela Uslenghi

We are motivated by the recently reported dynamical evidence of stars with short orbital periods moving around the center of the Milky Way and the corresponding hypothesis about the existence of a supermassive black hole hosted at its…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Alfredo Herrera-Aguilar , Ulises Nucamendi

This study investigates the accretion process and observational signatures of thin accretion disks around a Schwarzschild black hole (BH) embedded in a Dehnen-type dark matter (DM) halo. We examine the influence of the density {\rho}_{s}…

High Energy Astrophysical Phenomena · Physics 2025-11-18 Zhi Li , Jiancheng Yu

Black hole (BH) masses that have been measured by reverberation mapping in active galaxies fall significantly below the correlation between bulge luminosity and BH mass determined from spatially resolved kinematics of nearby normal…

This paper investigates the optical appearance of a Schwarzschild-like black hole (BH) surrounded by a Dehnen-(1, 4, 5/2) type dark matter (DM) halo, with a focus on how the DM halo's density $\rho_{s}$ and radius $r_{s}$ influence the BH's…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Zuting Luo , Meirong Tang , Zhaoyi Xu

At cosmological distances, gravitational lensing can provide a direct measurement of supermassive black hole (SMBH) masses irrespective of their luminosities. Here, we directly estimate the mass of a SMBH in the brightest cluster galaxy…

Astrophysics of Galaxies · Physics 2018-08-21 Mandy C. Chen , Tom Broadhurst , Jeremy Lim , Jose M. Diego , Youichi Ohyama , Holland Ford , Narciso Benítez

The optical characteristics of three types of black holes (BHs) surrounded by a thin accretion disk are discussed, namely the Schwarzschild BH, Bardeen BH, and Hayward BH. We calculate the deflection angle of light as it traverses the…

General Relativity and Quantum Cosmology · Physics 2023-11-02 Sen Guo , Yu-Xiang Huang , Yu-Hao Cui , Yan Han , Qing-Quan Jiang , En-Wei Liang , Kai Lin
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