On the spectrum of oscillations of a Schwarzschild black hole

Liu, Hongya; Mashhoon, Bahram

doi:10.1088/0264-9381/13/2/012

Cited by 36 publications

(45 citation statements)

References 72 publications

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“…This is consistent with the absence of any experimental evidence for such a thermal ambience at present [20]. That is, either (27) or (33) can be used to determine the quantum radiation field according to an accelerated observer once the quantum field in the inertial frame is given. Indeed, the nonlocal theory has been developed based on the assumption that no quanta are created or destroyed merely because an observer accelerates ("quantum invariance condition").…”

Section: Wave Phenomenasupporting

confidence: 82%

“…We extend the observer independence of wave notion to all basic radiation fields and elevate this notion to the status of a fundamental physical principle [28]. Writing equation (27) as F ′ = ΛF , our basic assumption implies that the resolvent kernel R is given by [31] R = dΛ(τ ) dτ Λ −1 (0).…”

Section: Wave Phenomenamentioning

confidence: 99%

“…The observation of such a mode would be very significant physically since, among other things, near an oscillating black hole L g ∼ GM/c 2 and withλ = c/ω 0 , we haveλ/L g ∼ 1, so that wave "optics" can be explored in the gravitational field of a black hole. It is necessary to examine the justification for the local field assumption (27), since it leads -in the thought experiment of Figure 2 -to the result that a normally incident right circularly polarized wave with ω = Ω would stand completely still with respect to the observer. This circumstance is in contradiction with expectations based on elementary notions of relativity theory [28].…”

Section: Wave Phenomenamentioning

confidence: 99%

“…To this end, imagine an accelerated charged particle in the nonrelativistic approximation. The particle radiates electromagnetic waves with characteristic wavelengthλ ∼ L; therefore, it is expected that such a particle would not be locally inertial and that (27) is violated. Indeed, the equation of motion of the particle is given by…”

Section: Wave Phenomenamentioning

confidence: 99%

See 3 more Smart Citations

Black Holes: Theory and Observation

Hehl¹,

Kiefer²,

Metzler³

1998

Lecture Notes in Physics

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Abstract. The theory of measurement is employed to elucidate the physical basis of general relativity. For measurements involving phenomena with intrinsic length or time scales, such scales must in general be negligible compared to the (translational and rotational) scales characteristic of the motion of the observer. Thus general relativity is a consistent theory of coincidences so long as these involve classical point particles and electromagnetic rays (geometric optics). Wave "optics" is discussed and the limitations of the standard theory in this regime are pointed out. A nonlocal theory of accelerated observers is briefly described that is consistent with observation and excludes the possibility of existence of a fundamental scalar field in nature.

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Section: Wave Phenomenasupporting

confidence: 82%

Section: Wave Phenomenamentioning

confidence: 99%

Section: Wave Phenomenamentioning

confidence: 99%

Section: Wave Phenomenamentioning

confidence: 99%

See 2 more Smart Citations

Black Holes: Theory and Observation

Hehl¹,

Kiefer²,

Metzler³

1998

Lecture Notes in Physics

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“…which is one of the well-known confluent hypergeometric equations [10] (for the ℓ = 0 case, we refer the reader to [11]). The solution of eq.…”

Section: The S-wave Scattering and The Qnm Complex Frequenciesmentioning

confidence: 99%

A scattering approach to some aspects of the Schwarzschild black hole

Raffaelli

2013

J. High Energ. Phys.

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In this paper, we consider a massless field, with spin j, in interaction with a Schwarzschild black hole in four dimensions, focusing mainly our study on the s-wave scattering. First, using a Fourier analysis, we show that one can have a simple and natural description of the Physics near the event horizon without using any conformal field approaches. Then, within the same "scattering picture", we derive analytically the imaginary part of the highly damped quasinormal complex frequencies and, as a natural consequence of our analysis, we show that thermal effects and in particular Hawking radiation, can be understood through the scattering of an ingoing s-wave by the non null barrier of the Regge-Wheeler potential associated with the Schwarzschild black hole. Finally, with the help of the well-known expression of the highly damped quasinormal complex frequencies, we propose a heuristic extension of the "tripled Pauli statistics" suggested by Motl, some years ago.

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Gravitomagnetism and the Clock Effect

Mashhoon

Gronwald

Lichtenegger

Lecture Notes in Physics

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110

132

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Abstract. The main theoretical aspects of gravitomagnetism are reviewed. It is shown that the gravitomagnetic precession of a gyroscope is intimately connected with the special temporal structure around a rotating mass that is revealed by the gravitomagnetic clock effect. This remarkable effect, which involves the difference in the proper periods of a standard clock in prograde and retrograde circular geodesic orbits around a rotating mass, is discussed in detail. The implications of this effect for the notion of "inertial dragging" in the general theory of relativity are presented. The theory of the clock effect is developed within the PPN framework and the possibility of measuring it via spaceborne clocks is examined.

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On the spectrum of oscillations of a Schwarzschild black hole

Cited by 36 publications

References 72 publications

Black Holes: Theory and Observation

Black Holes: Theory and Observation

A scattering approach to some aspects of the Schwarzschild black hole

Gravitomagnetism and the Clock Effect

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