Parameter estimation for inspiraling eccentric compact binaries including pericenter precession

Mikóczi, Balázs; Kocsis, Bence; Forgács, Péter; Vasúth, M.

doi:10.1103/physrevd.86.104027

Cited by 42 publications

(50 citation statements)

References 81 publications

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“…Hence the spinless particle in the stationary gravitational field can not overcome the speed of light. Then the same is true in general case (46), at least for the metric which is sufficiently slowly varied in time.…”

Section: Three-dimensional Acceleration and Maximum Speed Of A Particmentioning

confidence: 59%

“…This gives us the necessary tool for discussion of a fast moving body. The behavior of ultrarelativistic particles turns out to be important for analysis of near horizon geometry of extremal black holes (see [39]) and for accurate accounting of the corresponding corrections to geodesic motion near black hole [40][41][42][43][44][45][46][47][48].…”

Section: Three-dimensional Acceleration and Speed Of Light In Generalmentioning

confidence: 99%

See 1 more Smart Citation

Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

Дериглазов

Ramírez

2017

Advances in Mathematical Physics

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We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in external gravitational and electromagnetic fields. The formalism is developed starting from the Lagrangian variational problem, which implies both equations of motion and constraints which should be presented in a model of spinning particle. We present a detailed analysis of the resulting theory and show that it has reasonable properties on both classical and quantum level. We describe a number of applications and show how the vector model clarifies some issues presented in theoretical description of a relativistic spin: (A) one-particle relativistic quantum mechanics with positive energies and its relation with the Dirac equation and with relativistic Zitterbewegung; (B) spin-induced noncommutativity and the problem of covariant formalism; (C) three-dimensional acceleration consistent with coordinate-independence of the speed of light in general relativity and rainbow geometry seen by spinning particle; (D) paradoxical behavior of the Mathisson-PapapetrouTulczyjew-Dixon equations of a rotating body in ultrarelativistic limit, and equations with improved behavior.

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Section: Three-dimensional Acceleration and Maximum Speed Of A Particmentioning

confidence: 59%

Section: Three-dimensional Acceleration and Speed Of Light In Generalmentioning

confidence: 99%

Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

Дериглазов

Ramírez

2017

Advances in Mathematical Physics

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“…The time-dependent waveform is computed with the help of Fourier-Bessel method in Ref. [12] and the waveform in Fourier space for arbitrary eccentricity was given in Ref [13].…”

Section: Introductionmentioning

confidence: 99%

First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

2015

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The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first post-Newtonian eccentric waveform in Fourier domain with the use of Hansen coefficients. Introducing generic perturbations of celestial mechanics we have generalized the Hansen expansion to the first post-Newtonian order which are then used to express the waveforms. Taking into account the high eccentricity of the orbit leads to the appearance of secular terms in the waveform which are eliminated with the introduction of a phase shift. The waveforms have a systematic structure and as our main result these are expressed in a tabular form.

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“…But on the contrary, if ones can localize the gravitational wave source accurately through gravitational wave detection, the multi-messenger astronomy will benefit much [16]. For space-based detector-LISA, the authors in [17] found that higher eccentricity does increase the accuracy of source localization. It is interesting to ask how about ground-based detectors.…”

Section: Introductionmentioning

confidence: 99%

“…Regarding the source location accuracy, the sky position solid angle is [46] ∆Ω = 2π (∆ cos θ∆φ) 2 − ∆ cos θ∆φ 2 .…”

Section: Gravitational Wave Source Localization Accuracy Estimatmentioning

confidence: 99%

Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network

Cao

Lin

et al. 2017

Phys. Rev. D

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Gravitational wave source localization problem is important in gravitational wave astronomy. Regarding ground-based detector, almost all of the previous investigations only considered the difference of arrival time among the detector network for source localization. Within the matched filtering framework, the information beside the arrival time difference can possibly also do some help on source localization. Especially when an eccentric binary is considered, the character involved in the gravitational waveform may improve the source localization. We investigate this effect systematically in the current paper. During the investigation, the enhanced post-circular (EPC) waveform model is used to describe the eccentric binary coalesce. We find that the source localization accuracy does increase along with the eccentricity increases. But such improvement depends on the total mass of the binary. For total mass 100M binary, the source localization accuracy may be improved about 2 times in general when the eccentricity increases from 0 to 0.4. For total mass 65M binary (GW150914-like binary), the improvement factor is about 1.3 when the eccentricity increases from 0 to 0.4. For total mass 22M binary (GW151226-like binary), such improvement is ignorable.

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Parameter estimation for inspiraling eccentric compact binaries including pericenter precession

Cited by 42 publications

References 81 publications

Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network

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