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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations

As of 22 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2601.04892.

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Observation 8d422d9b-dba6-4a6b-8e62-73c33ee03277 · outbound

This paper cites an unresolved cited work.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Unresolved cited work

Reference 1

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Observation 126364b1-5ab7-4a64-84bb-33478c04663f · outbound

This paper cites The dotted lines show the linear and quadratic approximations.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations The dotted lines show the linear and quadratic approximations

Reference 2

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This paper cites GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run

Reference 3

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Observation 36e76f3f-bd79-4779-80fc-b7e788d4aec0 · outbound

This paper cites smaller real part), but certain poles (n= 4, 9 and 16) migrate to the right, creating two branches.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations smaller real part), but certain poles (n= 4, 9 and 16) migrate to the right, creating two branches

Reference 4

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Observation 4cdf088e-acd3-4831-b277-2e88aa7bc5ca · outbound

This paper cites As x→0 +, the repelling points approach the odd-nRPs.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations As x→0 +, the repelling points approach the odd-nRPs

Reference 5

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This paper cites Elephant and Flea.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Elephant and Flea

Reference 6

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This paper cites Vishveshwara, Nature227, 936 (1970).

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Vishveshwara, Nature227, 936 (1970)

Reference 7

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This paper cites Observation of Gravitational Waves from a Binary Black Hole Merger.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Observation of Gravitational Waves from a Binary Black Hole Merger

Reference 8

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This paper cites Universality of high-energy absorption cross sections for black holes.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Universality of high-energy absorption cross sections for black holes

Reference 9

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Unresolved cited work

Reference 10

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Unresolved cited work

Reference 11

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This paper cites Complex angular momentum in black hole physics and quasinormal modes.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Complex angular momentum in black hole physics and quasinormal modes

Reference 12

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This paper cites Regge pole description of scattering of scalar and electromagnetic waves by a Schwarzschild black hole.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Regge pole description of scattering of scalar and electromagnetic waves by a Schwarzschild black hole

Reference 13

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Regge pole description of scattering of gravitational waves by a Schwarzschild black hole

Reference 14

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This paper cites Fransen, Classical and Quantum Gravity40, 205004 (2023).

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Fransen, Classical and Quantum Gravity40, 205004 (2023)

Reference 15

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This paper cites Fine structure of high-energy absorption cross sections for black holes.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Fine structure of high-energy absorption cross sections for black holes

Reference 16

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Goebel, Astrophysical Journal, vol

Reference 17

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This paper cites Geodesic stability, Lyapunov exponents and quasinormal modes.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Geodesic stability, Lyapunov exponents and quasinormal modes

Reference 18

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit

Reference 19

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation

Reference 20

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Perturbative Approach to the Quasinormal Modes of Dirty Black Holes

Reference 21

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations On an Expansion Method for Black Hole Quasinormal Modes and Regge Poles

Reference 22

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Ashida, Z

Reference 23

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations About the Significance of Quasinormal Modes of Black Holes

Reference 24

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Quantifying excitations of quasinormal mode systems

Reference 25

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Quasinormal Modes of Dirty Black Holes

Reference 26

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations The high overtones are very sensitive to small perturbations: note, for example, the shift in the n= 7 mode under a perturbation ofϵ= 10 −8

Reference 27

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Can environmental effects spoil precision gravitational-wave astrophysics?

Reference 28

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Pseudospectrum and black hole quasi-normal mode (in)stability

Reference 29

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Gravitational wave signatures of black hole quasi-normal mode instability

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Berti, APS Physics14, 91 (2021)

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This paper cites Stability of the fundamental quasinormal mode in time-domain observations against small perturbations.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Stability of the fundamental quasinormal mode in time-domain observations against small perturbations

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This paper cites Destabilizing the Fundamental Mode of Black Holes: The Elephant and the Flea.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Destabilizing the Fundamental Mode of Black Holes: The Elephant and the Flea

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This paper cites Quasinormal modes in higher derivative gravity: testing the black hole parametrization and sensitivity of overtones.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Quasinormal modes in higher derivative gravity: testing the black hole parametrization and sensitivity of overtones

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations From black hole spectral instability to stable observables

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This paper cites Ringdown stability: greybody factors as stable gravitational-wave observables.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Ringdown stability: greybody factors as stable gravitational-wave observables

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Yang, Z.-F

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This paper cites Sun and R.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Sun and R

Reference 38

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This paper cites Sun and R.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Sun and R

Reference 39

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This paper cites Evolving test-fields in a black-hole geometry.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Evolving test-fields in a black-hole geometry

Reference 40

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This paper cites Quasinormal ringing of Kerr black holes: The excitation factors.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Quasinormal ringing of Kerr black holes: The excitation factors

Reference 41

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This paper cites Wave Propagation and Quasinormal Mode Excitation on Schwarzschild Spacetime.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Wave Propagation and Quasinormal Mode Excitation on Schwarzschild Spacetime

Reference 42

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This paper cites Nariai, Sci.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Nariai, Sci

Reference 43

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This paper cites Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums

Reference 44

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Unresolved cited work

Reference 45

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This paper cites The imprint of the equation of state on the axial w-modes of oscillating neutron stars.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations The imprint of the equation of state on the axial w-modes of oscillating neutron stars

Reference 46

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This paper cites Scattering from compact objects: Regge poles and the complex angular momentum method.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Scattering from compact objects: Regge poles and the complex angular momentum method

Reference 47

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Observation 83ebe411-d9e6-4bd9-9a1f-7a0bbec7acb2 · outbound

This paper cites Regge pole description of scattering by dirty black holes.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Regge pole description of scattering by dirty black holes

Reference 48

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Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Energy scales and black hole pseudospectra: the structural role of the scalar product

Reference 49

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Observation 2e450648-c904-480f-8b2d-13f935580180 · outbound

This paper cites Solidoro, S.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Solidoro, S

Reference 50

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This paper cites Wu and P.

Dynamical system approach to the spectral (in)stability of black holes under localised potential perturbations Wu and P

Reference 51

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