Circular light orbits of a general, static, and spherical symmetrical wormhole with $Z_2$ symmetry - INSPIRE

DataBETA

Circular light orbits of a general, static, and spherical symmetrical wormhole with $Z_2$ symmetry

Naoki Tsukamoto
(
- Tokyo U. of Sci.
)

Jan 15, 2024

12 pages

Published in:

Eur.Phys.J.C 84 (2024) 12, 1325

Published: Dec 27, 2024

e-Print:

2401.07846 [gr-qc]

DOI:

10.1140/epjc/s10052-024-13696-4

View in:

ADS Abstract Service

reference search2 citations

Citations per year

Abstract: (Springer)

Recently, the ring images or the shadow images of the centers of the galaxy M87 and the Milky way have been reported by Event Horizon Telescope Collaboration. It is believed that the ring images imply that the central objects form unstable light circular orbits. Some of wormholes with

Z_2

symmetry against a throat are wrongly excluded from the candidates at the centers of M87 and the Milky way due to the overlooking the unstable light circular orbits on the throat. A general asymptotically-flat, static, and spherical symmetrical wormhole without a thin shell has at least one unstable circular light orbit at the throat or elsewhere. If the wormhole has

Z_2

symmetry against the throat, it has the unstable circular light orbits on the throat or it has stable circular light orbits on the throat and unstable ones near the throat. We need to analyze the throat carefully to make sure we do not unfairly rule out the

Z_2

-symmetrical wormholes. In this study, we categorize the numbers of the circular light orbits of the

Z_2

-symmetrical wormhole and their stability from the derivatives of an effective potential at the throat and we investigate the circular light orbits around a Simpson–Visser black-bounce spacetime, a Damour–Solodukhin wormhole spacetime, a Reissner–Nordström black-hole-like wormhole spacetime or a charged Damour–Solodukhin wormhole spacetime as examples. We give complete treatments including degenerated circular light orbits made from more than one stable and unstable circular light orbits on and off the throat.

Note:

12 pages, 5 figures, minor correction, accepted for publication in The European Physical Journal C

photon: sphere
symmetry: rotation
space-time: wormhole
wormhole: throat
space-time: Reissner-Nordstroem
asymmetry
gravitation
asymptotic behavior
symmetry: Z(2)
space-time: static

References(113)

Figures(7)

[1]

The Geometry of photon surfaces

- J.Math.Phys. 42 (2001) 818-838
•
e-Print:
- gr-qc/0005050
•
DOI:
- 10.1063/1.1308507

[2]

Gravitational lensing from a spacetime perspective

V. Perlick
(
- Berlin, Tech. U.
)

- Living Rev.Rel. 7 (2004) 9
•
DOI:
- 10.12942/lrr-2004-9

[3]

Y. Hagihara

- Astron.Geophys. 8 (1931) 67

[4]

C. Darwin

- Proc.Roy.Soc.Lond.A A 249 (1959) 180

[5]

RDE Atkinson

- Astron.J. 70 (1965) 517

[6]

Image of a spherical black hole with thin accretion disk

J.-P. Luminet
(
- Meudon Observ.
)

- Astron.Astrophys. 75 (1979) 228-235

[7]

HC Ohanian

- Am.J.Phys. 55 (1987) 428

[8]

Visual distortions near a neutron star and black hole

Robert J. Nemiroff
(
- NASA, Goddard
)

- Am.J.Phys. 61 (1993) 619
•
e-Print:
- astro-ph/9312003
•
DOI:
- 10.1119/1.17224

[9]

Space-time perspective of Schwarzschild lensing

Simonetta Frittelli
(
- Duquesne U. and
- Pittsburgh U.
)
,
Thomas P. Kling
(
- Pittsburgh U.
)
,
Ezra T. Newman
(
- Pittsburgh U.
)

- Phys.Rev.D 61 (2000) 064021
•
e-Print:
- gr-qc/0001037
•
DOI:
- 10.1103/PhysRevD.61.064021

[10]

Schwarzschild black hole lensing

K.S. Virbhadra
(
- Cape Town U.
)
,
George F.R. Ellis
(
- Cape Town U.
)

- Phys.Rev.D 62 (2000) 084003
•
e-Print:
- astro-ph/9904193
•
DOI:
- 10.1103/PhysRevD.62.084003

[11]

Strong field limit of black hole gravitational lensing

V. Bozza
(
- Salerno U. and
- INFN, Naples
)
,
S. Capozziello
(
- Salerno U. and
- INFN, Naples
)
,
G. Iovane
(
- Salerno U. and
- INFN, Naples
)
,
G. Scarpetta
(
- Salerno U. and
- INFN, Naples
)

- Gen.Rel.Grav. 33 (2001) 1535-1548
•
e-Print:
- gr-qc/0102068
•
DOI:
- 10.1023/A:1012292927358

[12]

Reissner-Nordstrom black hole lensing

- Phys.Rev.D 66 (2002) 024010
•
e-Print:
- gr-qc/0203049
•
DOI:
- 10.1103/PhysRevD.66.024010

[13]

Gravitational lensing in the strong field limit

V. Bozza
(
- Salerno U. and
- INFN, Naples
)

- Phys.Rev.D 66 (2002) 103001
•
e-Print:
- gr-qc/0208075
•
DOI:
- 10.1103/PhysRevD.66.103001

[14]

On the Exact gravitational lens equation in spherically symmetric and static space-times

Volker Perlick
(
- Cologne U.
)

- Phys.Rev.D 69 (2004) 064017
•
e-Print:
- gr-qc/0307072
•
DOI:
- 10.1103/PhysRevD.69.064017

[15]

Gravitational Lensing by Black Holes

Valerio Bozza
(
- Salerno U. and
- INFN, Naples
)

- Gen.Rel.Grav. 42 (2010) 2269-2300
•
e-Print:
- 0911.2187
•
DOI:
- 10.1007/s10714-010-0988-2

[16]

Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime

Naoki Tsukamoto

- Phys.Rev.D 95 (2017) 6, 064035
•
e-Print:
- 1612.08251
•
DOI:
- 10.1103/PhysRevD.95.064035

[17]

Analytical approach to strong gravitational lensing from ultracompact objects

- Phys.Rev.D 99 (2019) 10, 104040
•
e-Print:
- 1903.08211
•
DOI:
- 10.1103/PhysRevD.99.104040

[18]

WL Ames
,
KS Thorne

- Astrophys.J. 151 (1968) 659

[19]

The Escape of Photons from Gravitationally Intense Stars

J.L. Synge
(
- Dublin Inst.
)

- Mon.Not.Roy.Astron.Soc. 131 (1966) 3, 463-466
•
DOI:
- 10.1093/mnras/131.3.463

[20]

How does a collapsing star look?

- Phys.Rev.D 100 (2019) 8, 084062
•
e-Print:
- 1908.04223
•
DOI:
- 10.1103/PhysRevD.100.084062

[21]

Absorption and Emission Spectra of a Schwarzschild Black Hole

Norma G. Sanchez
(
- Meudon Observ.
)

- Phys.Rev.D 18 (1978) 1030
•
DOI:
- 10.1103/PhysRevD.18.1030

[22]

Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies

- Phys.Rev.D 81 (2010) 104039
•
e-Print:
- 1002.0121
•
DOI:
- 10.1103/PhysRevD.81.104039

[23]

Long Wave Trains of Gravitational Waves from a Vibrating Black Hole

William H. Press
(
- Caltech
)

- Astrophys.J.Lett. 170 (1971) L105-L108
•
DOI:
- 10.1086/180849

[24]

CJ Goebel

- Astrophys.J. 172 (1972) L95

[25]

Strong gravitational lensing and black hole quasinormal modes: Towards a semiclassical unified description

Bernard Raffaelli
(
- ICRA, Pescara
)

- Gen.Rel.Grav. 48 (2016) 2, 16
•
e-Print:
- 1412.7333
•
DOI:
- 10.1007/s10714-016-2016-7

1-25 of 113
1
2
3
4
5
25 / page