Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes

Becerril, Ricardo; Valdez-Alvarado, Susana; Nucamendi, Ulises; Sheoran, Pankaj; Davila, J. M.

doi:10.1103/physrevd.103.084054

Cited by 13 publications

(8 citation statements)

References 75 publications

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“…We would like to emphasize that the mass expression (15) is given in terms of the total Kerr frequency shifts (11)-( 12) which are directly measured quantities in real astrophysical systems. This elegant relation differs from previous attempts to express the mass parameter in terms of the kinematic frequency shift [9,13,14,23]. Indeed, since Eq.…”

Section: Black Hole Mass and Spin From Redshift/blueshift Of Photons ...mentioning

confidence: 77%

“…Indeed, since Eq. ( 13) is a linear relation for M , it has no degeneracy in its values as in the case of higher order algebraic equations arising in [13,14] when expressing M in terms of the kinematic redshift for several spherically symmetric spacetimes and for configurations involving several photon sources [23]. Now, by substituting the relation ( 15) into ( 14), we obtain the rotation parameter versus the same quantities…”

Section: Black Hole Mass and Spin From Redshift/blueshift Of Photons ...mentioning

confidence: 99%

“…This approach was used in [13] to obtain the mass parameters of compact objects such as boson stars, as well as the Schwarzschild and Reissner-Nordström black holes from redshifts and blueshifts emitted by geodesic particles around them. In another work [14], the authors utilized a similar methodology to find the mass parameter of regular black holes and found the bounds on redshift and blueshifts of photons emitted by orbiting emitter par-ticles. A generalization of this methodology was used to obtain the mass and the spin of a Kerr black hole in modified gravity [15], these authors used the redshift as a tool to test the Kerr black hole hypothesis.…”

Section: Introduction and Brief Overview Of The Formalismmentioning

confidence: 99%

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

Banerjee,

Herrera-Aguilar,

Momennia

et al. 2022

Preprint

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In this work, we elaborate on the development of a general relativistic formalism that allows one to analytically express the mass and spin parameters of the Kerr black hole in terms of observational data: the total redshift and blueshift of photons emitted by geodesic massive particles revolving the black hole and their orbital parameters. Thus, we present concise closed formulas for the mass and spin parameters of the Kerr black hole in terms of few directly observed quantities in the case of equatorial circular orbits either when the black hole is static or is moving with respect to a distant observer. Furthermore, we incorporate the gravitational dragging effect generated by the rotating nature of the Kerr black hole into the analysis and elucidate its non-trivial contribution to the expression for the light bending parameter and the frequency shifts of photons emitted by orbiting particles that renders simple symmetric expressions for the kinematic redshift and blueshift. We also incorporate the dependency of the frequency shift on the azimuthal angle, a fact that allows one to express the total redshift/blueshift along any point of the orbit of the revolving particle for the cases when the black hole is both static or moving with respect to us. These formulas allow one to compute the Kerr black hole parameters by applying this general relativistic formalism to astrophysical systems like the megamaser accretion disks orbiting supermassive black holes at the core of active galactic nuclei. Our results open a new window to implement parameter estimation studies to constrain black hole variables, and they can be generalized to black hole solutions beyond Einstein gravity.

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Section: Black Hole Mass and Spin From Redshift/blueshift Of Photons ...mentioning

confidence: 77%

Section: Black Hole Mass and Spin From Redshift/blueshift Of Photons ...mentioning

confidence: 99%

Section: Introduction and Brief Overview Of The Formalismmentioning

confidence: 99%

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

Banerjee,

Herrera-Aguilar,

Momennia

et al. 2022

Preprint

Self Cite

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“…Recently, the precise constraints on the physical charges of regular and various other BHs have been proposed with the help of Event Horizon Telescope [53]. There are three well known rotating regular BHs in GR, Bardeen, Ayón-Beato-Garica (ABG), and Hayward regular BHs [11,39] which we describe below.…”

Section: Rotating Regular Bhs In Grmentioning

confidence: 99%

Testing alternative theories of gravity by fitting the hot-spot data of Sgr A*

et al. 2022

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We are fitting dynamics of electrically neutral hot-spot orbiting around Sagittarius A* (Sgr A*) source in Galactic center, represented by various modifications of the standard Kerr black hole (BH), to the three flares observed by the GRAVITY instrument on May 27, July 22, July 28, 2018. We consider stationary, axisymmetric, and asymptotically flat spacetimes describing charged BHs in general relativity (GR) combined with nonlinear electrodynamics, or reflecting the influence of dark matter (DM), or in so called parameterized dirty Kerr spacetimes, and test them using the hot-spot data. We show that the orbital frequencies as well as positions of the hot-spots orbiting the considered BHs fit the observed positions and periods of the flare orbits, and give relevant constraints on the parameters of the considered BH spacetimes and the gravity or other theories behind such modified spacetimes.

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“…One way to think about this is to consider the expansion of the universe as a kind of Stretching of space (Kurki, 2020). As the space between the photon and the mass stretches, it may appear to an observer that the photon is not moving, even though it is actually orbiting the mass (Becerril et al, 2021). It is worth noting that the concept of distance and velocity in an expanding universe is a topic of ongoing research in cosmology, and our understanding of these concepts is constantly evolving (Damanik, 2022;Dodelson et al, 2020).…”

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confidence: 99%

Study Review of the Speed of Light in Space-Time for STEM Student

Alfaris¹,

Siagian

Sumarto³

2023

jppipa, pendidikan ipa, fisika, biologi, kimia

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The author of this article aims to review the theory of relativity and its implications for physics education by using visual aids and a programming approach. The article will cover the concept of the speed of light in space-time in the context of relativity, and provide illustrations that explain the relationships in the context of general relativity. The focus of the article will be to introduce students to complex concepts and encourage their interest in the topic. The author reports success in teaching the basic concept of the speed of light in space-time to both elementary STEM students and high school students. While the theory of relativity has been taught at the secondary school level in some education systems, there is a lack of research on the effectiveness of using visual aids and a programming approach to enhance students' understanding of the concept. This article aims to fill the gap by evaluating the impact of this approach on students' understanding of the theory of relativity

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Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes

Cited by 13 publications

References 75 publications

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

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

Testing alternative theories of gravity by fitting the hot-spot data of Sgr A*

Study Review of the Speed of Light in Space-Time for STEM Student

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