Electromagnetic perturbations in Schwarzschild spacetime reduce to a Helmholtz equation with a derived position- and frequency-dependent refractive index encoding gravitational redshift, curvature, and angular momentum.
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Stability of a Schwarzschild singularity
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CosmicDancePro integrates multimodal datasets to reveal that solar storms cause significant Starlink orbital decay and network degradation, and explains a 'W'-shaped altitude variation pattern via day-night atmospheric density differences.
Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.
A residue-based approach in f(Q) gravity claims that thermodynamic Hessian degeneracy in the extended state space produces corresponding shifts in quasinormal-mode frequencies, Lyapunov exponents, damping times, and near-horizon monodromy.
For a specific R=0 wormhole, the magnetic Love number for ℓ=2 vanishes to linear order in the regularization parameter under static axial gravitational perturbations.
An RG-improved Schwarzschild metric with de Sitter core is studied for shadow radius, scalar/EM/Dirac quasinormal modes via WKB and time-domain methods, SCC compliance at the inner horizon, and a Davies-type thermodynamic phase transition.
Admissible negative-w_r branches of trace-quadratic f(R,T) black holes support axial ringdown spectra governed by a single master equation equivalent to Einstein gravity plus frozen anisotropic fluid, differing from Schwarzschild by ~22% with no resolved α dependence.
Proves rigorous O(L^{-2}) localization estimates for resonance spectra in a compactly supported transfer-function model of black-hole echoes with explicit normalizations.
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.
citing papers explorer
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Electromagnetic wave propagation in static black hole spacetimes: an effective refractive index description in Schwarzschild geometry
Electromagnetic perturbations in Schwarzschild spacetime reduce to a Helmholtz equation with a derived position- and frequency-dependent refractive index encoding gravitational redshift, curvature, and angular momentum.
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Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis
CosmicDancePro integrates multimodal datasets to reveal that solar storms cause significant Starlink orbital decay and network degradation, and explains a 'W'-shaped altitude variation pattern via day-night atmospheric density differences.
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Pseudospectrum and black hole quasi-normal mode (in)stability
Pseudospectrum of Schwarzschild QNMs shows stability of the fundamental mode to infrared perturbations respecting asymptotics and instability of overtones to ultraviolet high-frequency perturbations.
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Thermodynamic-Geometric Phase Transition and Gravitational-Wave Quasinormal Modes of Schwarzschild Black Holes in $f(Q)$ Gravity: An RVB-Residue Approach
A residue-based approach in f(Q) gravity claims that thermodynamic Hessian degeneracy in the extended state space produces corresponding shifts in quasinormal-mode frequencies, Lyapunov exponents, damping times, and near-horizon monodromy.
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Can wormholes have vanishing Love numbers?
For a specific R=0 wormhole, the magnetic Love number for ℓ=2 vanishes to linear order in the regularization parameter under static axial gravitational perturbations.
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Renormalization-group improved Schwarzschild black hole: shadow, ringdown, and strong cosmic censorship
An RG-improved Schwarzschild metric with de Sitter core is studied for shadow radius, scalar/EM/Dirac quasinormal modes via WKB and time-domain methods, SCC compliance at the inner horizon, and a Davies-type thermodynamic phase transition.
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Odd-parity perturbations of trace-quadratic $f(R,T)$ black holes with anisotropic matter: admissible branches, axial ringdown, and a coupled-PINN benchmark
Admissible negative-w_r branches of trace-quadratic f(R,T) black holes support axial ringdown spectra governed by a single master equation equivalent to Einstein gravity plus frozen anisotropic fluid, differing from Schwarzschild by ~22% with no resolved α dependence.
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Black-Hole Echo Resonance Spectra and Source Dependence in a Controlled Transfer-Function Model
Proves rigorous O(L^{-2}) localization estimates for resonance spectra in a compactly supported transfer-function model of black-hole echoes with explicit normalizations.
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Love numbers of black holes and compact objects
A pedagogical review of Love numbers and tidal responses for black holes and compact objects in general relativity and extensions.
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The physics of gravitational waves
Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.