Details
| Original language | English |
|---|---|
| Article number | 124014 |
| Number of pages | 12 |
| Journal | Physical Review D |
| Volume | 108 |
| Issue number | 12 |
| Publication status | Published - 4 Dec 2023 |
Abstract
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 108, No. 12, 124014, 04.12.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Eccentricity-tide coupling
T2 - Impact on binary neutron stars and extreme mass ratio inspirals
AU - Bernaldez, John Paul
AU - Datta, Sayak
PY - 2023/12/4
Y1 - 2023/12/4
N2 - We study the effect of tidal interaction between two compact bodies in an eccentric orbit. We assume the tidal fields to be static. Therefore, we ignore the dynamic tides and resonant excitations. Using the results, we find the analytical expression for the phase shift of the emitted gravitational wave. In the process, we find that in the leading order, the initial eccentricity e0 and the dimensionless tidal deformability Λ couple as ∼e0nΛ, where n is a positive number. We only focus on the dominant contribution, i.e., e02Λ. We also compute the accumulated dephasing for binary neutron star systems. We find that for optimistic values of eccentricities e0∼0.05 and Λ∼600, the accumulated dephasing is O(10-4) radian, requiring a signal-to-noise ratio ∼7000 to be observable. Therefore, these effects can be measured in binary neutron star systems with large eccentricities if the signal-to-noise ratios of the systems are also very large. Hence, in third-generation detectors, it may have an observable impact if the systems have large eccentricities. We also explore the impact of this effect on extreme mass-ratio inspirals (EMRIs). We find that even for supermassive bodies with small values of Λ∼10-3, this effect has large dephasing in EMRIs∼O(10) radian. Therefore, this effect will help in probing the nature of the supermassive bodies in an EMRI.
AB - We study the effect of tidal interaction between two compact bodies in an eccentric orbit. We assume the tidal fields to be static. Therefore, we ignore the dynamic tides and resonant excitations. Using the results, we find the analytical expression for the phase shift of the emitted gravitational wave. In the process, we find that in the leading order, the initial eccentricity e0 and the dimensionless tidal deformability Λ couple as ∼e0nΛ, where n is a positive number. We only focus on the dominant contribution, i.e., e02Λ. We also compute the accumulated dephasing for binary neutron star systems. We find that for optimistic values of eccentricities e0∼0.05 and Λ∼600, the accumulated dephasing is O(10-4) radian, requiring a signal-to-noise ratio ∼7000 to be observable. Therefore, these effects can be measured in binary neutron star systems with large eccentricities if the signal-to-noise ratios of the systems are also very large. Hence, in third-generation detectors, it may have an observable impact if the systems have large eccentricities. We also explore the impact of this effect on extreme mass-ratio inspirals (EMRIs). We find that even for supermassive bodies with small values of Λ∼10-3, this effect has large dephasing in EMRIs∼O(10) radian. Therefore, this effect will help in probing the nature of the supermassive bodies in an EMRI.
UR - http://www.scopus.com/inward/record.url?scp=85179831979&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2303.01398
DO - 10.48550/arXiv.2303.01398
M3 - Article
AN - SCOPUS:85179831979
VL - 108
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 12
M1 - 124014
ER -