Relativistic glider

Guéron, Eduardo; Mosna, Ricardo A.

doi:10.1103/physrevd.75.081501

Cited by 11 publications

(57 citation statements)

References 4 publications

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“…The initial conditions are φ i (t = 0) =φ i (t = 0) = 0, r(t = 0) = r 0 andṙ(t = 0) = v 0 . The case with v 0 = 0 was discussed by Guéron and Mosna (2007). In that case, it is possible to slow down or to accelerate the free fall of a system depending on the parameter α. Guéron showed that after one oscillation period, the radial deviation is given by…”

Section: Radial Free Fallmentioning

confidence: 99%

“…This situation is studied in Guéron and Mosna (2007), Bergamin et al (2009a). The initial conditions are φ i (t = 0) =φ i (t = 0) = 0, r(t = 0) = r 0 andṙ(t = 0) = v 0 .…”

Section: Radial Free Fallmentioning

confidence: 99%

“…These proposals are based on resonant effects, where the change of shape is linked to the motion of the body in space. More recently, similar situations have been studied in the framework of general relativity (see for example Wisdom (2003), Guéron et al (2006), Avron and Kenneth (2006) , Guéron and Mosna (2007)) where non-resonant effects can become large.…”

Section: Introductionmentioning

confidence: 99%

“…The model used here is described in Guéron and Mosna (2007), Bergamin et al (2009a), Bergamin et al (2009b): 148 A. Hees, L. Bergamin & P. Delva two point masses connected by a massless tether, whose length l(t) is imposed by an oscillating constraint. The constraint is described by four parameters: its frequency ω, its amplitude δ l , its minimum length l 0 and an asymmetry parameter α (it describes how much the oscillation fails to be symmetric in time).…”

Section: The Modelmentioning

confidence: 99%

“…Three different classes of initial conditions (or reference motions) will be presented: a circular orbit (described in Bergamin et al (2009b)), a radial free fall (described in Guéron and Mosna (2007), Bergamin et al (2009a)) and a radial free-fall with a tangential initial velocity. We will show that in general relativity new interesting effects appear even in regions of weak gravitation, which are not present in Newtonian physics, and we will describe how these effects depend on the initial conditions.…”

Section: Introductionmentioning

confidence: 99%

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The motion of vibrating systems in Schwarzchild spacetime

2009

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Abstract. In this communication, the effects of vibrations at high frequencies onto a freely falling two-body system in Schwarzschild spacetime are investigated. We present these effects for different kinds of reference motions, all of which are placed in regions of weak gravitation: circular orbits, radial free fall (with different initial velocities) and radial free fall with a small tangential velocity. The vibrations induce a change in the motion of the vibrating system, which is characterized by a radial deviation between the vibrating system and the reference motion of the non-vibrating system. For a circular orbit, we show that the maximal radial deviation increases linearly with the initial radius. For a radial free fall, the radial deviation after one oscillation decreases quadratically with respect to the initial radius.

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Section: Radial Free Fallmentioning

confidence: 99%

“…This situation is studied in Guéron and Mosna (2007), Bergamin et al (2009a). The initial conditions are φ i (t = 0) =φ i (t = 0) = 0, r(t = 0) = r 0 andṙ(t = 0) = v 0 .…”

Section: Radial Free Fallmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The motion of vibrating systems in Schwarzchild spacetime

2009

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Free Fall and Self-Force: an Historical Perspective

Spallicci

2009

Mass and Motion in General Relativity

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Free fall has signed the greatest markings in the history of physics through the leaning Pisa tower, the Cambridge apple tree and the Einstein lift. The perspectives offered by the capture of stars by supermassive black holes are to be cherished, because the study of the motion of falling stars will constitute a giant step forward in the understanding of gravitation in the regime of strong field. After an account on the perception of free fall in ancient times and on the behaviour of a gravitating mass in Newtonian physics, this chapter deals with last century debate on the repulsion for a Schwarzschild black hole and mentions the issue of an infalling particle velocity at the horizon. Further, black hole perturbations and numerical methods are presented, paving the way to the introduction of the self-force and other back-action related methods. The impact of the perturbations on the motion of the falling particle is computed via the tail, the back-scattered part of the perturbations, or via a radiative Green function. In the former approach, the self-force acts upon the background geodesic; in the latter, the geodesic is conceived in the total (background plus perturbations) field. Regularisation techniques (mode-sum and Riemann-Hurwitz z function) intervene to cancel divergencies coming from the infinitesimal size of the particle. An account is given on the state of the art, including the last results obtained in this most classical problem, together with a perspective encompassing future space gravitational wave interferometry and head-on particle physics experiments. As free fall is patently non-adiabatic, it requires the most sophisticated techniques for studying the evolution of the motion. In this scenario, the potential of the self-consistent approach, by means of which the background geodesic is continuously corrected by the self-force contribution, is examined.

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Vibrating systems in Schwarzschild spacetime: toward new experiments in gravitation?

Bergamin¹,

Delva²,

Hees³

2009

Class. Quantum Grav.

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In this paper the effects of vibrations at high frequencies onto a freely falling two-body system in Schwarzschild spacetime are investigated. As reference motion of the same system without vibrations a circular orbit around the central body is considered. The vibrations induce a perturbation on this motion, whose period is close to the orbital period, in agreement with the simpler situation of the Shirokov effect [1]. In general relativity the amplitude of the perturbation is dominated by high velocity effects, which grow linearly in the radius r of the circular orbit, while the leading term surviving the Newtonian limit decays as 1/r. Thus even for very large radii a significant difference between Newtonian physics and general relativity is found. We give an estimate of this effect for some molecular vibrations of a system orbiting around the Earth.

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Relativistic glider

Abstract: We present a purely relativistic effect according to which asymmetric oscillations of a quasi-rigid body slow down or accelerate its fall in a gravitational background.

Cited by 11 publications

References 4 publications

The motion of vibrating systems in Schwarzchild spacetime

The motion of vibrating systems in Schwarzchild spacetime

Free Fall and Self-Force: an Historical Perspective

Vibrating systems in Schwarzschild spacetime: toward new experiments in gravitation?

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