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

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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

Jul 30, 2020

24 pages

Published in:

Phys.Rev.D 103 (2021) 8, 084054

Published: Apr 30, 2021

e-Print:

2007.15300 [gr-qc]

DOI:

10.1103/PhysRevD.103.084054

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Abstract: (APS)

We obtain the mass parameter for a class of static and spherically symmetric regular black holes (BHs) (namely Bardeen, Hayward and Ayón-Beato-García BHs) which are solutions of Einstein’s field equations coupled to nonlinear electrodynamics (NED) in terms of redshifts and blueshifts of photons emitted by geodesic particles (for instance, stars) orbiting around these BHs. The motion of photons is not governed by null geodesics for these type of spacetime geometries which reflects the direct effects of the electrodynamic nonlinearities in the photon motion; hence, an effective geometry needs to be constructed to study null trajectories [M. Novello et al., Phys. Rev. D 61, 045001 (2000)PRVDAQ0556-282110.1103/PhysRevD.61.045001]. To achieve the above, we first study the constants of motion from the analysis of the motion of both geodesic particles moving in stable circular orbits and photons ejected from them and reaching a distant observer (or detector) in the equatorial plane for the above mentioned regular BHs. The relationship between red/blueshifts of photons and the regular BH observables is presented. We also numerically find the bounds on the photon shifts for these regular BH cases.

Note:

23 pages, 19 figures, Major revision, title and context changed, App. A added, new figures added, updated to match journal version

General relativity, alternative theories of gravity
photon: emission
electromagnetic field: nonlinear
Einstein equation: solution
space-time: geometry
symmetry: rotation
geodesic
black hole
redshift
trajectory

References(81)

Figures(44)

[1]

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

[2]

GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence

LIGO Scientific and
Virgo

Collaborations

•

B. P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 24, 241103
•
e-Print:
- 1606.04855
•
DOI:
- 10.1103/PhysRevLett.116.241103

[3]

First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole

Event Horizon Telescope

Collaboration

•

Kazunori Akiyama
(
- NRAO, Charlottesville and
- MIT, Haystack Observ. and
- Natl. Astron. Observ. of Japan and
- Harvard U.
)

et al.

- Astrophys.J.Lett. 875 (2019) L1
•
e-Print:
- 1906.11238
•
DOI:
- 10.3847/2041-8213/ab0ec7

[4]

First M87 Event Horizon Telescope Results. II. Array and Instrumentation

Event Horizon Telescope

Collaboration

•

Kazunori Akiyama
(
- NRAO, Charlottesville and
- MIT, Haystack Observ. and
- Natl. Astron. Observ. of Japan and
- Harvard U.
)

et al.

- Astrophys.J.Lett. 875 (2019) 1, L2
•
e-Print:
- 1906.11239
•
DOI:
- 10.3847/2041-8213/ab0c96

[5]

First M87 Event Horizon Telescope Results. III. Data Processing and Calibration

Event Horizon Telescope

Collaboration

•

Kazunori Akiyama
(
- NRAO, Charlottesville and
- MIT, Haystack Observ. and
- Natl. Astron. Observ. of Japan and
- Harvard U.
)

et al.

- Astrophys.J.Lett. 875 (2019) 1, L3
•
e-Print:
- 1906.11240
•
DOI:
- 10.3847/2041-8213/ab0c57

[6]

First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole

Event Horizon Telescope

Collaboration

•

Kazunori Akiyama
(
- NRAO, Charlottesville and
- MIT, Haystack Observ. and
- Natl. Astron. Observ. of Japan and
- Harvard U.
)

et al.

- Astrophys.J.Lett. 875 (2019) 1, L4
•
e-Print:
- 1906.11241
•
DOI:
- 10.3847/2041-8213/ab0e85

[7]

First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring

Event Horizon Telescope

Collaboration

•

Kazunori Akiyama
(
- NRAO, Charlottesville and
- MIT, Haystack Observ. and
- Natl. Astron. Observ. of Japan and
- Harvard U.
)

et al.

- Astrophys.J.Lett. 875 (2019) 1, L5
•
e-Print:
- 1906.11242
•
DOI:
- 10.3847/2041-8213/ab0f43

[8]

First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole

Event Horizon Telescope

Collaboration

•

Kazunori Akiyama
(
- NRAO, Charlottesville and
- MIT, Haystack Observ. and
- Natl. Astron. Observ. of Japan and
- Harvard U.
)

et al.

- Astrophys.J.Lett. 875 (2019) 1, L6
•
e-Print:
- 1906.11243
•
DOI:
- 10.3847/2041-8213/ab1141

[9]

Black Holes in f(R) theories

- Phys.Rev.D 80 (2009) 124011,
- Phys.Rev.D 83 (2011) 029903 (erratum)
•
e-Print:
- 0907.3872
•
DOI:
- 10.1103/PhysRevD.80.124011

[9]

Black Holes in f(R) theories

- Phys.Rev.D 80 (2009) 124011,
- Phys.Rev.D 83 (2011) 029903 (erratum)
•
e-Print:
- 0907.3872
•
DOI:
- 10.1103/PhysRevD.80.124011

[10]

Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity

- Nucl.Phys.B 628 (2002) 295-330
•
e-Print:
- hep-th/0112045
•
DOI:
- 10.1016/S0550-3213(02)00075-5

[11]

The Lovelock Black Holes

Cecilia Garraffo
(
- Brandeis U. and
- Buenos Aires, CONICET
)
,
Gaston Giribet
(
- Buenos Aires U. and
- Buenos Aires, CONICET and
- CECS, Valdivia
)

- Mod.Phys.Lett.A 23 (2008) 1801-1818
•
e-Print:
- 0805.3575
•
DOI:
- 10.1142/S0217732308027497

[12]

Black holes in massive gravity

Eugeny Babichev
(
- Orsay, LPT
)
,
Richard Brito
(
- Lisbon U. and
- Lisbon, CENTRA and
- Lisbon, IST
)

- Class.Quant.Grav. 32 (2015) 154001
•
e-Print:
- 1503.07529
•
DOI:
- 10.1088/0264-9381/32/15/154001

[13]

Black Holes in Modified Gravity (MOG)

J.W. Moffat

- Eur.Phys.J.C 75 (2015) 4, 175
•
e-Print:
- 1412.5424
•
DOI:
- 10.1140/epjc/s10052-015-3405-x

[14]

PhD thesis, Princeton University

J.M. Maldacena

[15]

Kerr black hole parameters in terms of the redshift/blueshift of photons emitted by geodesic particles

- Phys.Rev.D 92 (2015) 4, 045024
•
e-Print:
- 1506.05182
•
DOI:
- 10.1103/PhysRevD.92.045024

[16]

Obtaining mass parameters of compact objects from redshifts and blueshifts emitted by geodesic particles around them

- Phys.Rev.D 94 (2016) 12, 124024
•
e-Print:
- 1610.01718
•
DOI:
- 10.1103/PhysRevD.94.124024

[17]

Mass and spin of a Kerr black hole in modified gravity and a test of the Kerr black hole hypothesis

- Phys.Rev.D 97 (2018) 12, 124049
•
e-Print:
- 1712.03344
•
DOI:
- 10.1103/PhysRevD.97.124049

[18]

The Singularities of gravitational collapse and cosmology

S.W. Hawking
(
- Cambridge U.
)
,
R. Penrose
(
- Birkbeck Coll.
)

- Proc.Roy.Soc.Lond.A 314 (1970) 529-548
•
DOI:
- 10.1098/rspa.1970.0021

[19]

The Large Scale Structure of Space-Time

S.W. Hawking
,
G.F.R. Ellis

[20]

GR5, Tiflis, USSR, and published in the conference proceedings in the U S S R 1968, p, 174

J.M. Bardeen

[21]

Regular black holes and topology change

Arvind Borde
(
- Tufts U. and
- Long Island U., Southampton
)

- Phys.Rev.D 55 (1997) 7615-7617
•
e-Print:
- gr-qc/9612057
•
DOI:
- 10.1103/PhysRevD.55.7615

[22]

Regular black hole in general relativity coupled to nonlinear electrodynamics

Eloy Ayon-Beato
(
- CINVESTAV, IPN
)
,
Alberto Garcia
(
- CINVESTAV, IPN
)

- Phys.Rev.Lett. 80 (1998) 5056-5059
•
e-Print:
- gr-qc/9911046
•
DOI:
- 10.1103/PhysRevLett.80.5056

[23]

Formation and evaporation of regular black holes

Sean A. Hayward
(
- Penn State U.
)

- Phys.Rev.Lett. 96 (2006) 031103
•
e-Print:
- gr-qc/0506126
•
DOI:
- 10.1103/PhysRevLett.96.031103

[24]

Regular phantom black holes

- Phys.Rev.Lett. 96 (2006) 251101
•
e-Print:
- gr-qc/0511109
•
DOI:
- 10.1103/PhysRevLett.96.251101

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