Toward the Gravitational Redshift Detection in NGC 4258 and the Estimation of its Black Hole Mass-to-Distance Ratio

Abstract

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 observable quantities. The presented method allows one to clearly distinguish and quantify the general and special relativistic contributions to the total redshift expression. The total relativistic redshift/blueshift comprises three components: the gravitational redshift due to the spacetime curvature generated by the mass of the BH in its vicinity, the kinematic shift, originated by the photons' local Doppler effect, and the redshift due to a special relativistic boost that describes the motion of a galaxy from a distant observer. We apply our method to the largest data set of highly redshifted water megamaser measurements on the accretion disk of the NGC 4258 active galaxy and use this general relativistic method to estimate its BH mass-to-distance ratio: M/D = (0.5326 +/- 0.00022) x 10^7 solar masses/Mpc.

8 pages, 4 figures, 1 table

References in corpus (10)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Multi-messenger Observations of a Binary Neutron Star Merger
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Toward a New Distance to the Active Galaxy NGC 4258: II. Centripetal Accelerations and Investigation of Spiral Structure
• Deriving accurate peculiar velocities (even at high redshift)
• The Megamaser Cosmology Project.IX. Black hole masses for three maser galaxies
• Is the Bardeen-Petterson effect responsible for the warping and precession in NGC 4258?
• The Warped Disc of NGC 4258

Cited by in corpus (12)

• Mass and spin of Kerr black holes in terms of observational quantities: The dragging effect on the redshift
• Kerr black hole in de Sitter spacetime and observational redshift: Toward a new method to measure the Hubble constant
• A general relativistic mass-to-distance ratio for a set of megamaser AGN black holes
• Probing a polymerized black hole with the frequency shifts of photons
• A general relativistic estimation of the black hole mass-to-distance ratio at the core of TXS 2226-184
• Observational redshift from general spherically symmetric black holes
• Mass, charge, and distance to Reissner-Nordström black hole in terms of directly measurable quantities
• Schwarzschild black hole and redshift rapidity: A new approach towards measuring cosmic distances
• Estimating the mass-to-distance ratio for a set of megamaser AGN black holes by employing a general relativistic method
• Reviewing the GR Method for Estimating Black Hole Parameters of Megamaser Systems
• Thermodynamic and observational implications of black holes in toroidal geometry
• Redshift Spectroscopy as a Probe of Regular Black Holes, Black Bounces, and Scalar-Hair Compact Objects