Study of Null Geodesics and their Stability in Horndeski Black Holes - INSPIRE

DataBETA

Study of Null Geodesics and their Stability in Horndeski Black Holes

D.A. Carvajal
(
- Chile U., Catolica and
- Chile U., Santiago
)
,
P.A. González
(
- Diego Portales U.
)
,
Marco Olivares
(
- Diego Portales U.
)
,
Eleftherios Papantonopoulos
(
- Natl. Tech. U., Athens
)
,
Yerko Vásquez
(
- La Serena U.
)

Mar 3, 2025

16 pages

e-Print:

2503.02083 [gr-qc]

View in:

ADS Abstract Service

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS Horndeski black holes, studying the effect of the cosmological constant on the orbits. Also, we consider three classical test of the gravity in the solar system, such as, the bending of the light, the gravitational redshift, and the Shapiro time delay in order to constraint the coupling parameters of the scalar field to gravity. Calculating the Lyapunov exponent we explore the stability of these geodesics for various values of the cosmological constant.

Note:

16 pages, and 11 figures. arXiv admin note: text overlap with arXiv:2002.03394

References(81)

Figures(13)

[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]

GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2

LIGO Scientific and
VIRGO

Collaborations

•

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

et al.

- Phys.Rev.Lett. 118 (2017) 22, 221101,
- Phys.Rev.Lett. 121 (2018) 12, 129901 (erratum)
•
e-Print:
- 1706.01812
•
DOI:
- 10.1103/PhysRevLett.118.221101

[4]

GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence

LIGO Scientific and
Virgo

Collaborations

•

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

et al.

- Phys.Rev.Lett. 119 (2017) 14, 141101
•
e-Print:
- 1709.09660
•
DOI:
- 10.1103/PhysRevLett.119.141101

[5]

GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

LIGO Scientific and
Virgo

Collaborations

•

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

et al.

- Phys.Rev.Lett. 119 (2017) 16, 161101
•
e-Print:
- 1710.05832
•
DOI:
- 10.1103/PhysRevLett.119.161101

[6]

The scalar-tensor theory of gravitation (Cambridge University Press,)

Y. Fujii
,
K. Maeda

[7]

Second-order scalar-tensor field equations in a four-dimensional space

Gregory Walter Horndeski
(
- Waterloo U.
)

- Int.J.Theor.Phys. 10 (1974) 363-384
•
DOI:
- 10.1007/BF01807638

[8]

Mémoires sur les équations différentielles, relatives au problème des isopérimètres. Mem. Acad. St. Petersbourg 6(4), 385 (1850)

M. Ostrogradsky

[9]

The Galileon as a local modification of gravity

Alberto Nicolis
(
- Columbia U. and
- ISCAP, New York
)
,
Riccardo Rattazzi
(
- ITPP, Lausanne
)
,
Enrico Trincherini
(
- Pisa, Scuola Normale Superiore
)

- Phys.Rev.D 79 (2009) 064036
•
e-Print:
- 0811.2197
•
DOI:
- 10.1103/PhysRevD.79.064036

[10]

Covariant Galileon

C. Deffayet
(
- APC, Paris and
- Paris Observ.
)
,
Gilles Esposito-Farese
(
- Paris, Inst. Astrophys.
)
,
A. Vikman
(
- New York U., CCPP
)

- Phys.Rev.D 79 (2009) 084003
•
e-Print:
- 0901.1314
•
DOI:
- 10.1103/PhysRevD.79.084003

[11]

Scalar Hair from a Derivative Coupling of a Scalar Field to the Einstein Tensor

- Class.Quant.Grav. 29 (2012) 205011
•
e-Print:
- 1111.0263
•
DOI:
- 10.1088/0264-9381/29/20/205011

[12]

Black holes with non-minimal derivative coupling

Massimiliano Rinaldi
(
- Namur U.
)

- Phys.Rev.D 86 (2012) 084048
•
e-Print:
- 1208.0103
•
DOI:
- 10.1103/PhysRevD.86.084048

[13]

Phase Transition to a Hairy Black Hole in Asymptotically Flat Spacetime

- JHEP 11 (2013) 133
•
e-Print:
- 1308.5280
•
DOI:
- 10.1007/JHEP11(2013)133

[14]

Dressing a black hole with a time-dependent Galileon

Eugeny Babichev
(
- Orsay, LPT
)
,
Christos Charmousis
(
- Tours U., CNRS and
- Orsay, LPT
)

- JHEP 08 (2014) 106
•
e-Print:
- 1312.3204
•
DOI:
- 10.1007/JHEP08(2014)106

[15]

Black Holes in Bi-scalar Extensions of Horndeski Theories

Christos Charmousis
(
- Orsay, LPT and
- Tours U., CNRS
)
,
Theodoros Kolyvaris
(
- Valparaiso U., Catolica
)
,
Eleftherios Papantonopoulos
(
- Natl. Tech. U., Athens
)
,
Minas Tsoukalas
(
- CECS, Valdivia
)

- JHEP 07 (2014) 085
•
e-Print:
- 1404.1024
•
DOI:
- 10.1007/JHEP07(2014)085

[16]

Cosmology with nonminimal derivative couplings

Luca Amendola
(
- Rome Observ.
)

- Phys.Lett.B 301 (1993) 175-182
•
e-Print:
- gr-qc/9302010
•
DOI:
- 10.1016/0370-2693(93)90685-B

[17]

Exact cosmological solutions with nonminimal derivative coupling

Sergey V. Sushkov
(
- Kazan State U. and
- Tatar State U., Kazan
)

- Phys.Rev.D 80 (2009) 103505
•
e-Print:
- 0910.0980
•
DOI:
- 10.1103/PhysRevD.80.103505

[18]

UV-Protected Inflation

Cristiano Germani
(
- Munich U.
)
,
Alex Kehagias
(
- Natl. Tech. U., Athens
)

- Phys.Rev.Lett. 106 (2011) 161302
•
e-Print:
- 1012.0853
•
DOI:
- 10.1103/PhysRevLett.106.161302

[19]

Quintessence and phantom cosmology with non-minimal derivative coupling

Emmanuel N. Saridakis
(
- CUPT, Chongqing
)
,
Sergey V. Sushkov
(
- Kazan State U. and
- Tatar State U., Kazan
)

- Phys.Rev.D 81 (2010) 083510
•
e-Print:
- 1002.3478
•
DOI:
- 10.1103/PhysRevD.81.083510

[20]

The Phase-space analysis of scalar fields with non-minimally derivative coupling

Y. Huang
,
Q. Gao
,
Y. Gong

- Eur.J.Phys.C 75 (2015) 143

[21]

Inflationary models with non-minimally derivative coupling

Nan Yang
(
- Hua-Zhong U. Sci. Tech.
)
,
Qin Fei
(
- Hua-Zhong U. Sci. Tech.
)
,
Qing Gao
(
- Hua-Zhong Normal U.
)
,
Yungui Gong
(
- Hua-Zhong U. Sci. Tech. and
- Baylor U.
)

- Class.Quant.Grav. 33 (2016) 20, 205001
•
e-Print:
- 1504.05839
•
DOI:
- 10.1088/0264-9381/33/20/205001

[22]

Gravitational Particle Production in Gravity Theories with Non-minimal Derivative Couplings

- JCAP 08 (2013) 027
•
e-Print:
- 1305.5741
•
DOI:
- 10.1088/1475-7516/2013/08/027

[23]

New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity

Cristiano Germani
(
- Munich U.
)
,
Alex Kehagias
(
- Natl. Tech. U., Athens
)

- Phys.Rev.Lett. 105 (2010) 011302
•
e-Print:
- 1003.2635
•
DOI:
- 10.1103/PhysRevLett.105.011302

[24]

UV-protected (Natural) Inflation: Primordial Fluctuations and non-Gaussian Features

Cristiano Germani
(
- Munich U., ASC
)
,
Yuki Watanabe
(
- Munich U., ASC
)

- JCAP 07 (2011) 031,
- JCAP 07 (2011) A01 (addendum)
•
e-Print:
- 1106.0502
•
DOI:
- 10.1088/1475-7516/2011/07/031

[25]

Breaking a Dark Degeneracy with Gravitational Waves

- JCAP 03 (2016) 031
•
e-Print:
- 1509.08458
•
DOI:
- 10.1088/1475-7516/2016/03/031

1-25 of 81
1
2
3
4
25 / page