Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime - INSPIRE

DataBETA

Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime

Kimet Jusufi
(
- State U., Tetova and
- Skopje U.
)
,
Izzet Sakallı
(
- Eastern Mediterranean U.
)
,
Ali Övgün
(
- Eastern Mediterranean U. and
- Valparaiso U., Catolica
)

May 17, 2017

9 pages

Published in:

Phys.Rev.D 96 (2017) 2, 024040

Published: Jul 24, 2017

e-Print:

1705.06197 [gr-qc]

DOI:

10.1103/PhysRevD.96.024040

View in:

reference search103 citations

Citations per year

Abstract: (APS)

We investigate the Lorentz symmetry breaking effects (LSBE) on the deflection of light by a rotating cosmic string spacetime in the weak limit approximation. We first calculate the deflection angle by a static cosmic string for a fixed spacelike 4-vector case (FSL) with the corresponding effective-string optical metric using the Gauss-Bonnet theorem (GBT). Then, we focus on a more general scenario, namely we calculate the deflection angle by a rotating cosmic string applying the GBT to Randers effective-string metric. We obtain a significant modification in the deflection angle because of the LSBE parameter. We find first and second order correction terms due to the global effective topology which are proportional to the cosmic string and LSBE parameter, respectively. Finally, for a fixed time-like 4-vector (FTL) case, we show that the deflection angle is not affected by LSBE parameter.

Note:

9 pages; Accepted for publication in Physical Review D

95.30.Sf
98.62.Sb
04.40.Dg
02.40.Hw
cosmic string: rotation
symmetry breaking: effect
photon
deflection
space-time
violation: Lorentz

References(34)

Figures(0)

[1]

Gravitational Lenses

P. Schneider
,
J. Ehlers
,
E.E. Falco

[2]

M. Longair

- Phil.Trans.Roy.Soc.Lond.A 373 (2015) 20140287
•
DOI:
- 10.1098/rsta.2014.0287

[3]

Weak gravitational lensing

- Phys.Rept. 340 (2001) 291-472
•
e-Print:
- astro-ph/9912508
•
DOI:
- 10.1016/S0370-1573(00)00082-X

[4]

Monopoles, vortices, domain walls and D-branes: The Rules of interaction

Norisuke Sakai
(
- Tokyo Inst. Tech.
)
,
David Tong
(
- Cambridge U., DAMTP
)

- JHEP 03 (2005) 019
•
e-Print:
- hep-th/0501207
•
DOI:
- 10.1088/1126-6708/2005/03/019

[5]

Light Deflection by a Rotating Global Monopole Spacetime

Kimet Jusufi
(
- State U., Tetova
)
,
Marcus C. Werner
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Ayan Banerjee
(
- Jadavpur U.
)
,
Ali Övgün
(
- Eastern Mediterranean U.
)

- Phys.Rev.D 95 (2017) 10, 104012
•
e-Print:
- 1702.05600
•
DOI:
- 10.1103/PhysRevD.95.104012

[6]

Lorentz symmetry breaking effects on relativistic EPR correlations

- Eur.Phys.J.C 75 (2015) 9, 410
•
e-Print:
- 1508.04662
•
DOI:
- 10.1140/epjc/s10052-015-3640-1

[7]

A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields

K. Bakke
(
- Paraiba U.
)
,
H. Belich
(
- Espirito Santo U.
)

- J.Phys.G 42 (2015) 9, 095001
•
e-Print:
- 1507.03918
•
DOI:
- 10.1088/0954-3899/42/9/095001

[8]

On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle

K. Bakke
(
- Paraiba U.
)
,
H. Belich
(
- Espirito Santo U.
)

- Annals Phys. 354 (2015) 1-9
•
e-Print:
- 1412.5078
•
DOI:
- 10.1016/j.aop.2014.12.006

[9]

Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime

H. Belich
(
- Espirito Santo U.
)
,
K. Bakke
(
- Paraiba U.
)

- Phys.Rev.D 90 (2014) 2, 025026
•
e-Print:
- 1407.6279
•
DOI:
- 10.1103/PhysRevD.90.025026

[10]

He–McKellar–Wilkens-type effect, quantum holonomies and Aharonov–Bohm-type effect for bound states from the Lorentz symmetry breaking effects

- Rev.Math.Phys. 28 (2016) 10, 1650023
•
e-Print:
- 1502.07515
•
DOI:
- 10.1142/S0129055X16500239

[11]

Noninertial effects on the ground state energy of a massive scalar field in the cosmic string spacetime

H.F. Mota
(
- Sussex U.
)
,
K. Bakke
(
- Paraiba U.
)

- Phys.Rev.D 89 (2014) 2, 027702
•
e-Print:
- 1401.3728
•
DOI:
- 10.1103/PhysRevD.89.027702

[12]

Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string space–time

H. Belich
(
- Espirito Santo U.
)
,
K. Bakke
(
- Paraiba U.
)

- Int.J.Mod.Phys.A 31 (2016) 07, 1650026
•
e-Print:
- 1504.07262
•
DOI:
- 10.1142/S0217751X16500263

[13]

Dimensional reduction of the CPT-even electromagnetic sector of the Standard Model Extension

Rodolfo Casana
(
- UFMA, Bacanga
)
,
Eduardo S. Carvalho
(
- UFMA, Bacanga
)
,
Manoel M. Ferreira, Jr
(
- UFMA, Bacanga
)

- Phys.Rev.D 84 (2011) 045008
•
e-Print:
- 1107.2664
•
DOI:
- 10.1103/PhysRevD.84.045008

[14]

Applications of the Gauss-Bonnet theorem to gravitational lensing

- Class.Quant.Grav. 25 (2008) 235009
•
e-Print:
- 0807.0854
•
DOI:
- 10.1088/0264-9381/25/23/235009

[15]

Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry

G.W. Gibbons
(
- Cambridge U., DAMTP
)
,
C.A.R. Herdeiro
(
- Porto U.
)
,
C.M. Warnick
(
- Cambridge U., DAMTP
)
,
M.C. Werner
(
- Cambridge U., DAMTP and
- Cambridge U., Inst. of Astron.
)

- Phys.Rev.D 79 (2009) 044022
•
e-Print:
- 0811.2877
•
DOI:
- 10.1103/PhysRevD.79.044022

[16]

Gravitational lensing in the Kerr-Randers optical geometry

M.C. Werner
(
- Tokyo U., IPMU
)

- Gen.Rel.Grav. 44 (2012) 3047-3057
•
e-Print:
- 1205.3876
•
DOI:
- 10.1007/s10714-012-1458-9

[17]

Gravitational lensing by Reissner-Nordström black holes with topological defects

Kimet Jusufi

- Astrophys.Space Sci. 361 (2016) 1, 24
•
e-Print:
- 1510.08526
•
DOI:
- 10.1007/s10509-015-2609-8

[18]

Light Deflection with Torsion Effects Caused by a Spinning Cosmic String

Kimet Jusufi
(
- Stip U.
)

- Eur.Phys.J.C 76 (2016) 6, 332
•
e-Print:
- 1605.02781
•
DOI:
- 10.1140/epjc/s10052-016-4185-7

[19]

Hawking Radiation and Deflection of Light from Rindler Modified Schwarzschild Black Hole

- EPL 118 (2017) 6, 60006
•
e-Print:
- 1702.04636
•
DOI:
- 10.1209/0295-5075/118/60006

[20]

Note on the Kerr spinning particle metric

- J.Math.Phys. 6 (1965) 915-917
•
DOI:
- 10.1063/1.1704350

[21]

Lorentz violation and black-hole thermodynamics

- Nucl.Phys.B 815 (2009) 198-214
•
e-Print:
- 0811.0943
•
DOI:
- 10.1016/j.nuclphysb.2009.02.017

[22]

Lorentz violation and black-hole thermodynamics: Compton scattering process

- Phys.Lett.B 682 (2009) 316-321
•
e-Print:
- 0909.0160
•
DOI:
- 10.1016/j.physletb.2009.11.020

[23]

Cosmic Strings and Other Topological Defects

A. Vilenkin

[24]

Spinning Cosmic Strings and Quantization of Energy

P.O. Mazur
(
- Syracuse U.
)

- Phys.Rev.Lett. 57 (1986) 929-932,
- Phys. Rev. Lett. 57 ( 1986) 929-932
•
DOI:
- 10.1103/PhysRevLett.57.929

[25]

Three-Dimensional Einstein Gravity: Dynamics of Flat Space

- Annals Phys. 152 (1984) 220
•
DOI:
- 10.1016/0003-4916(84)90085-X

1-25 of 34
1
2
25 / page