Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit - INSPIRE

DataBETA

Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit

Dec 13, 2016

7 pages

Published in:

Phys.Rev.D 95 (2017) 4, 044017

Published: Feb 15, 2017

e-Print:

1612.04044 [gr-qc]

DOI:

10.1103/PhysRevD.95.044017

View in:

reference search159 citations

Citations per year

Abstract: (APS)

Continuing work initiated in an earlier publication [A. Ishihara, Y. Suzuki, T. Ono, T. Kitamura, and H. Asada, Phys. Rev. D 94, 084015 (2016).PRVDAQ2470-001010.1103/PhysRevD.94.084015], we discuss a method of calculating the bending angle of light in a static, spherically symmetric, and asymptotically flat spacetime, especially by taking into account the finite distance from a lens object to a light source and a receiver. For this purpose, we use the Gauss-Bonnet theorem to define the bending angle of light, such that the definition can be valid also in the strong deflection limit. Finally, this method is applied to Schwarzschild spacetime in order to discuss also possible observational implications. The proposed corrections for Sgr A* for instance are able to amount to ∼10-5 arcseconds for some parameter range, which may be within the capability of near-future astronomy, while also the correction for the Sun in the weak-field limit is ∼10-5 arcseconds.

Note:

20 pages, 9 figures, Appendix added, accepted by PRD

04.40.-b
95.30.Sf
98.62.Sb

References(35)

Figures(13)

[1]

A Determination of the Deflection of Light by the Sun's Gravitational Field, from Observations Made at the Total Eclipse of May 29, 1919

F.W. Dyson
(
- Royal Greenwich Observ.
)
,
A.S. Eddington
(
- Cambridge U.
)
,
C. Davidson
(
- Royal Greenwich Observ.
)

- Phil.Trans.Roy.Soc.Lond.A 220 (1920) 291-333
•
DOI:
- 10.1098/rsta.1920.0009

[2]

The foundation of the general theory of relativity.

Albert Einstein

- Annalen Phys. 49 (1916) 7, 769-822,
- Annalen Phys. 14 (2005) 517-571,
- ,
- Annalen Phys. 354 (1916) 7, 769-822
•
DOI:
- 10.1002/andp.19163540702

[3]

Y. Hagihara

- Jpn.J Astron.Geophys. 8 (1931) 67

[4]

The Mathematical Theory of Black Holes

S. Chandrasekhar

[5]

Grav.

C.W. Misner
,
K.S. Thorne
,
J.A. Wheeler

[6]

Essential Relativistic Celestial Mechanics

V.A. Brumberg

[7]

A generalized lens equation for light deflection in weak gravitational fields

Sven Zschocke

- Class.Quant.Grav. 28 (2011) 125016
•
e-Print:
- 1105.3621
•
DOI:
- 10.1088/0264-9381/28/12/125016

[8]

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

[9]

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

[10]

Relativistic images of Schwarzschild black hole lensing

K.S. Virbhadra
(
- Sciences U., Philadelphia
)

- Phys.Rev.D 79 (2009) 083004
•
e-Print:
- 0810.2109
•
DOI:
- 10.1103/PhysRevD.79.083004

[11]

Role of the scalar field in gravitational lensing

K.S. Virbhadra
(
- Tata Inst. and
- Zululand U.
)
,
D. Narasimha
(
- Tata Inst.
)
,
S.M. Chitre
(
- Tata Inst.
)

- Astron.Astrophys. 337 (1998) 1-8
•
e-Print:
- astro-ph/9801174

[12]

Gravitational lensing by naked singularities

K.S. Virbhadra
(
- Cape Town U. and
- Duke U.
)
,
G.F.R. Ellis
(
- Cape Town U.
)

- Phys.Rev.D 65 (2002) 103004
•
DOI:
- 10.1103/PhysRevD.65.103004

[13]

Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities

- Phys.Rev.D 77 (2008) 124014
•
e-Print:
- 0710.2333
•
DOI:
- 10.1103/PhysRevD.77.124014

[14]

Reissner-Nordstrom black hole lensing

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

[15]

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

[16]

Negative Time Delay in Strongly Naked Singularity Lensing

- Phys.Rev.D 89 (2014) 12, 129904 (addendum),
- Phys.Rev.D 89 (2014) 12, 123012
•
e-Print:
- 1402.5630
•
DOI:
- 10.1103/PhysRevD.89.123012

[17]

Gravitational Microlensing by the Ellis Wormhole

F. Abe

- Astrophys.J. 725 (2010) 787-793
•
e-Print:
- 1009.6084
•
DOI:
- 10.1088/0004-637X/725/1/787

[18]

Astrometric Image Centroid Displacements due to Gravitational Microlensing by the Ellis Wormhole

- Astrophys.J. 740 (2011) 121
•
e-Print:
- 1107.5374
•
DOI:
- 10.1088/0004-637X/740/2/121

[19]

Deflection angle of light in an Ellis wormhole geometry

Koki Nakajima
(
- Hirosaki U.
)
,
Hideki Asada
(
- Hirosaki U.
)

- Phys.Rev.D 85 (2012) 107501
•
e-Print:
- 1204.3710
•
DOI:
- 10.1103/PhysRevD.85.107501

[20]

The Application of Weierstrass elliptic functions to Schwarzschild Null Geodesics

G.W. Gibbons
(
- Cambridge U., DAMTP and
- Trinity Coll., Cambridge
)
,
M. Vyska
(
- Trinity Coll., Cambridge
)

- Class.Quant.Grav. 29 (2012) 065016
•
e-Print:
- 1110.6508
•
DOI:
- 10.1088/0264-9381/29/6/065016

[21]

Demagnifying gravitational lenses toward hunting a clue of exotic matter and energy

- Phys.Rev.D 87 (2013) 2, 027501
•
e-Print:
- 1211.0379
•
DOI:
- 10.1103/PhysRevD.87.027501

[22]

Gravitational lensing shear by an exotic lens object with negative convergence or negative mass

- Phys.Rev.D 88 (2013) 024049
•
e-Print:
- 1305.5037
•
DOI:
- 10.1103/PhysRevD.88.024049

[23]

Microlensed image centroid motions by an exotic lens object with negative convergence or negative mass

- Phys.Rev.D 89 (2014) 8, 084020
•
e-Print:
- 1307.6637
•
DOI:
- 10.1103/PhysRevD.89.084020

[24]

Negative time delay of light by a gravitational concave lens

- Phys.Rev.D 90 (2014) 8, 084026
•
e-Print:
- 1404.2720
•
DOI:
- 10.1103/PhysRevD.90.084026

[25]

Signed magnification sums for general spherical lenses

Naoki Tsukamoto
(
- Rikkyo U.
)
,
Tomohiro Harada
(
- Rikkyo U.
)

- Phys.Rev.D 87 (2013) 2, 024024
•
e-Print:
- 1211.0380
•
DOI:
- 10.1103/PhysRevD.87.024024

1-25 of 35
1
2
25 / page