The constraint on modified black holes with extreme mass ratio inspirals

Zhang, Chao; Fu, Guoyang; Gong, Yungui

doi:10.1140/epjc/s10052-025-14100-5

The constraint on modified black holes with extreme mass ratio inspirals

Aug 27, 2024

19 pages

Published in:

Eur.Phys.J.C 85 (2025) 4, 385

Published: Apr 4, 2025

e-Print:

2408.15064 [gr-qc]

DOI:

10.1140/epjc/s10052-025-14100-5

View in:

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Abstract: (Springer)

The low-energy effective action of String Theory introduces corrections to the dilaton-graviton sector, resulting in deformed black holes beyond general relativity. We analyze extreme mass-ratio inspiral systems (EMRIs), where a stellar-mass object spirals into a slowly rotating supermassive black hole including a distinct deviation parameter. This study examines the effects of this deformation on the rate of change of orbital energy and angular momentum, orbital evolution, and phase dynamics, incorporating leading-order post-Newtonian corrections. The String theory parameter

\alpha

will accelerate the EMRI merger because of the extra energy and angular momentum fluxes carried away by corrections to the dilaton-graviton sector. With 1-year observations of EMRIs, we employ the Fisher information matrix method to evaluate the potential for detecting deviations from general relativity through space-based gravitational wave detectors that utilize time-delay interferometry to suppress laser noise. The constraint on modified black holes,

\varDelta \alpha \preceq 10^{-5}

, is almost the same with and without the time-delay interferometry combination. This analysis enhances our understanding and underscores the crucial role of observations in advancing gravitational phenomena within String Theory.

Note:

19 pages, 4 figures; Added some references and revised some sentences; Comments are welcome

References(88)

Figures(4)

[42]

in 7th Marcel Grossmann Meeting on General Relativity (MG 7) , pp. 1668-1670

M. Tinto
,
G. Giampieri
,
R.W. Hellings
,
P.L. Bender
,
J.E. Faller

[55]

Optimizing the directional sensitivity of LISA

K.Rajesh Nayak
(
- IUCAA, Pune
)
,
S.V. Dhurandhar
(
- IUCAA, Pune
)
,
A. Pai
(
- Cote d'Azur Observ., Nice
)
,
J.Y. Vinet
(
- Cote d'Azur Observ., Nice
)

- Phys.Rev.D 68 (2003) 122001,
- Phys.Rev.D 70 (2004) 049901 (erratum)
•
e-Print:
- gr-qc/0306050
•
DOI:
- 10.1103/PhysRevD.70.049901

[60]

Optimal filtering of the LISA data

- Phys.Rev.D 70 (2004) 022003,
- Phys.Rev.D 76 (2007) 069901 (erratum)
•
e-Print:
- gr-qc/0401108
•
DOI:
- 10.1103/PhysRevD.70.022003

[61]

Geometric time delay interferometry

Michele Vallisneri
(
- Caltech, JPL
)

- Phys.Rev.D 72 (2005) 042003,
- Phys.Rev.D 76 (2007) 109903 (erratum)
•
e-Print:
- gr-qc/0504145
•
DOI:
- 10.1103/PhysRevD.76.109903

[64]

Algebraic approach to time-delay data analysis for orbiting LISA

- Phys.Rev.D 70 (2004) 10
•
DOI:
- 10.1103/PhysRevD.70.102003

[66]

Evolution of the Carter constant for inspirals into a black hole: Effect of the black hole quadrupole

- Phys.Rev.D 75 (2007) 124007,
- Phys.Rev.D 82 (2010) 069904 (erratum),
- Phys.Rev.D 82 (2010) 129903 (erratum)
•
e-Print:
- 0704.0389
•
DOI:
- 10.1103/PhysRevD.75.124007

[74]

Testing Gravity with Extreme-Mass-Ratio Inspirals

Alejandro Cárdenas-Avendaño
(
- Princeton U. and
- ICE, Bellaterra
)
,
Carlos F. Sopuerta
(
- Princeton U. and
- ICREA, Barcelona and
- Barcelona, IEEC and
- Tomsk State U.
)

- ,
- In Recent Progress on Gravity Tests. Springer Series in Astrophysics and Cosmology. Springer, Singapore, 2024
•
e-Print:
- 2401.08085
•
DOI:
- 10.1007/978-981-97-2871-8_8