Introduction

Arifov, U.A.

doi:10.1007/978-1-4899-4809-0_1

Cited by 3 publications

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“…This approach is followed by von Rabe [204], Whittaker [208], Srnivasa Rao [192], Zel'dovich and Novikov [214]. Nevertheless, McVittie, almost thirty years after Drumaux [142], still reaffirms that the particle is pushed away by the central body as do Treder [199], also in cooperation with Fritze [200], Markley [137], Arifov [9,10], McGruder [141]. A discussion on radar and Doppler measurements with semi-renormalised measurements was offered by Jaffe and Shapiro [106,107].…”

Section: Uniqueness Of Acceleration and The Newtonian Back-actionmentioning

confidence: 99%

“…The existence and the detectability of gravitational waves, the validity of the quadrupole formula are among the notorious debates that have characterised general relativity, as described by Kennefick [110]. But closer to the topic of this chapter is the, surprisingly since almost endless, controversy on the radial motion in the unperturbed Schwarzschild or properly Schwarzschild-Droste (henceforth SD) metric [64,65,179] 9 , intertwined with the early debates on the apparent singularity at 9 Rothman [173] gives a brief historical account on Droste's independent derivation of the same metric published by Schwarzschild, in the same year 1916. Eisenstaedt [75] mentions previous attempts by Droste [63] on the basis of the preliminary versions of general relativity by Einstein and Grossmann [72], later followed by the Einstein's works (general relativity was completed in 1915 and first systematically presented in 1916 [71]) and Hilbert's [100].…”

Section: The Controversy On the Repulsion And On The Particle Velocitmentioning

confidence: 99%

“…It is thus mandatory to consider the application of the recently proposed self-consistent prescription [91], unfortunately not yet part of the state of the art in terms of its application. 9 Beyond the state of the art: the self-consistent prescription…”

Section: Effect Of Radiation Reaction On the Waveforms During Plungementioning

confidence: 99%

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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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Section: Uniqueness Of Acceleration and The Newtonian Back-actionmentioning

confidence: 99%

Section: The Controversy On the Repulsion And On The Particle Velocitmentioning

confidence: 99%

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Free Fall and Self-Force: an Historical Perspective

Spallicci

2009

Mass and Motion in General Relativity

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“…Incidentally, they all carried their work ignoring Droste's findings, and often each other. Still in the 50s, McVittie [56] reaffirms that the particle is pushed away by the central body; likewise do Møller [57] and Treder [58,59]; on the same track Carmeli [60,61] and others [62][63][64]. Radar and Doppler measurements with semi-renormalised measurements are proposed by Jaffe and Shapiro [45,46].…”

Section: A the Controversy On The Geodesic Infallmentioning

confidence: 97%

Gauge dependence and self-force from Galilean to Einsteinian free fall, compact stars falling into black holes, Hawking radiation and the Pisa tower at the general relativity centennial

Spallicci

Putten

2016

Int. J. Geom. Methods Mod. Phys.

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Obviously, in Galilean physics, the universality of free fall implies an inertial frame, which in turns implies that the mass m of the falling body is omitted (because it is a test mass; put otherwise, the centre of mass of the system coincides with the centre of the main, and fixed, mass M ; or else, we consider only an homogeneous gravitational field). Otherwise, an additional (in the same or opposite direction) acceleration proportional to m/M would rise either for an observer at the centre of mass of the system, or for an observer at a fixed distance from the centre of mass of M . These elementary, but overlooked, considerations fully respect the equivalence principle and the (local) identity of an inertial or a gravitational pull for an observer in the Einstein cabin. They value as fore-runners of the self-force and gauge dependency in general relativity. Because of its importance in teaching and in the history of physics, coupled to the introductory role to Einstein's equivalence principle, the approximate nature of Galilei's law of free fall is explored herein. When stepping into general relativity, we report how the geodesic free fall into a black hole was the subject of an intense debate again centred on coordinate choice. Later, we describe how the infalling mass and the emitted gravitational radiation affect the free fall motion of a body. The general relativistic self-force might be dealt with to perfectly fit into a geodesic conception of motion. Then, embracing quantum mechanics, real black holes are not classical static objects any longer. Free fall has to handle the Hawking radiation, and leads us to new perspectives on the varying mass of the evaporating black hole and on the varying energy of the falling mass. Along the paper, we also estimate our findings for ordinary masses being dropped from a Galilean or Einsteinian Pisa-like tower with respect to the current state of the art drawn from precise measurements in ground and space laboratories, and to the constraints posed by quantum measurements. The appendix describes how education physics and high impact factor journals discuss the free fall. Finally, case studies conducted on undergraduate students and teachers are reviewed.

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Influence of adsorbed gas on cathodes on penning discharge pulse formation

Zlobina

Kreindel

1976

Soviet Physics Journal

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Introduction

Cited by 3 publications

References 0 publications

Free Fall and Self-Force: an Historical Perspective

Free Fall and Self-Force: an Historical Perspective

Gauge dependence and self-force from Galilean to Einsteinian free fall, compact stars falling into black holes, Hawking radiation and the Pisa tower at the general relativity centennial

Influence of adsorbed gas on cathodes on penning discharge pulse formation

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