An extensive search for overtones in Schwarzschild black holes

Abdalla, Élcio; Giugno, Davi

doi:10.1590/s0103-97332007000300018

Cited by 8 publications

(8 citation statements)

References 8 publications

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“…where A and φ are constant coefficients and n represents the order of the mode and this is not meant as an exponent. Once the properties of the fundamental mode are known, the eigenfrequencies of the overtones are obtained using the method proposed in [22], which consists of subtracting from the numerical solution the fitted function relative to the fundamental mode n = 0. This reveals the n = 1 mode and the procedure can be iterated for obtaining higher overtones, depending on their damping rate.…”

Section: Perturbation Equations and Numerical Methodsmentioning

confidence: 99%

How to tell a gravastar from a black hole

Chirenti

Rezzolla

2007

Class. Quantum Grav.

273

260

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Gravastars have been recently proposed as potential alternatives to explain the astrophysical phenomenology traditionally associated with black holes, raising the question of whether the two objects can be distinguished at all. Leaving aside the debate about the processes that would lead to the formation of a gravastar and the astronomical evidence in their support, here we address two basic questions: is a gravastar stable against generic perturbations? If it is stable, can an observer distinguish it from a black hole of the same mass? To answer these questions we construct a general class of gravastars and determine the conditions they must satisfy in order to exist as equilibrium solutions of the Einstein equations. For such models we perform a systematic stability analysis against axial perturbations, computing the real and imaginary parts of the eigenfrequencies. Overall, we find that gravastars are stable to axial perturbations, but also that their quasi-normal modes differ from those of a black hole of the same mass and thus can be used to discern, beyond dispute, a gravastar from a black hole.

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Section: Perturbation Equations and Numerical Methodsmentioning

confidence: 99%

How to tell a gravastar from a black hole

Chirenti

Rezzolla

2007

Class. Quantum Grav.

273

260

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“…Ref. [46]). ] The spectra for the gravitational and electromagnetic radiation behave in a similar manner [7,13].…”

Section: Numerical Resultsmentioning

confidence: 99%

Scalar radiation from a radially infalling source into a Schwarzschild black hole in the framework of quantum field theory

2018

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We investigate the radiation to infinity of a massless scalar field from a source falling radially towards a Schwarzschild black hole using the framework of the quantum field theory at tree level. When the source falls from infinity, the monopole radiation is dominant for low initial velocities. Higher multipoles become dominant at high initial velocities. It is found that, as in the electromagnetic and gravitational cases, at high initial velocities the energy spectrum for each multipole with l ≥ 1 approximately is constant up to the fundamental quasinormal frequency and then drops to zero. We also investigate the case where the source falls from rest at a finite distance from the black hole. It is found that the monopole and dipole contributions in this case are dominant. This case needs to be carefully distinguished from the unphysical process where the source abruptly appears at rest and starts falling, which would result in radiation of an infinite amount of energy. We also investigate the radiation of a massless scalar field to the horizon of the black hole, finding some features similar to the gravitational case.

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“…Expressions for the frequencies of QNMs with very large imaginary parts can be found in Anderson 93 [16] [8], and Abdalla 07 [19].…”

Section: Quasinormal Modes Of Supermassive Bhs and Possible Astrophysmentioning

confidence: 99%

Perspectives for testing quantum aspects of gravity using LISA

Aguiar¹,

Castello-Branco²,

Miranda³

et al. 2009

J. Phys.: Conf. Ser.

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LISA should be able to detect the gravitational waves from the QNM ringdown of supermassive black holes in the 10 5-10 8 solar mass range. On the other hand, it is reasonable to think that any quantum theory of gravitation should impose the quantization of the energy levels of these QNM. Here we discuss the possibility of distinguishing quantum aspects of gravity using LISA to observe QNM overtones of highly excited supermassive black holes.

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An extensive search for overtones in Schwarzschild black holes

Cited by 8 publications

References 8 publications

How to tell a gravastar from a black hole

How to tell a gravastar from a black hole

Scalar radiation from a radially infalling source into a Schwarzschild black hole in the framework of quantum field theory

Perspectives for testing quantum aspects of gravity using LISA

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