Proves model-independent lower bound r_sh ≥ ((n-1)/2)^{1/(n-3)} sqrt((n-1)/(n-3)) r_H under WEC and upper bound r_sh ≤ sqrt((n-1)/(n-3)) [(n-1)M]^{1/(n-3)} under WEC+SEC+decay for nD black holes.
Bardeen, William H
18 Pith papers cite this work, alongside 2,263 external citations. Polarity classification is still indexing.
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representative citing papers
No definitive lensing is detected in GW231123, though a potential microlensing feature with modulation amplitude up to 0.8 at 95% confidence is noted, limited by large waveform systematics in short signals.
Kerr-MOG accretion disk spectra are softer than Kerr at fixed spin due to outward ISCO shift from the fifth-force parameter α, with an observational upper limit α < 0.044 from LMC X-1 data.
A Monte Carlo model of a Kerr black hole corona shows that photon collisions create a dense electron-positron pair cloud concentrated near the black hole, yielding X-ray temperatures, Compton parameters, and 4-10% polarization consistent with binary black hole observations.
Time-reversed Shannon entropy distinguishes chaotic from regular orbits in Kerr and Schwarzschild-Melvin spacetimes by quantifying forward-backward asymmetry in probability distributions.
A new public relativistic transfer-function model reltrans for X-ray reverberation mapping that fits both spectra and lags to measure black-hole masses.
Citizen science discovery of a bow-and-arrow radio galaxy with ~560 kpc bow-shock-like structure in a multi-halo environment at z=0.159.
External quadrupolar distortion imprints on orbital dynamics and accretion structure in thin disks around deformed compact objects, with the radiating region's outer edge tied to the radiation-to-gas pressure transition.
A Kaluza-Klein boost on Kerr-Taub-NUT enlarges the physical ergoregion volume without altering horizon radius, entropy, or temperature, while adding dyonic work terms to the first law.
Centrifugal and gravitational forces both raise magnetic reconnection rates near Kerr black holes, with gravity separating charges and centrifugal force shortening the current sheet via curved geometry seen by a comoving observer.
MHD and GRMHD simulations of magnetized accretion flows around rotating black holes show distinct bolometric luminosities and synchrotron-to-SSC peak ratios between SANE and MAD states that can distinguish magnetic field properties.
Observational evidence links obscured super-Eddington accretion to slower precessing jets in stellar-mass compact object systems, contrasting with fixed fast jets in low-density environments.
Increasing enclosed dark matter normalization lowers the flip frequency relative to Kerr while more extended DM profiles weaken the response in the effective response model.
EHT angular diameter data yield upper bounds on the holonomy correction b (e.g., b ≤ 0.1319M at a=0 for M87*) showing nonzero b remains consistent with observations for RHCBH spacetimes.
Extends intrinsic curvature criteria for massive particle surfaces to stationary spacetimes and demonstrates application to black hole shadows in Kerr-family and Einstein-Maxwell-dilaton solutions.
Energy extraction via Comisso-Asenjo magnetic reconnection from rotating dyonic black holes in N=2 U(1)^2 gauged supergravity is possible but tightly limited by gauge coupling g and dyonic charges, peaking at intermediate spins rather than near-extremal.
A review summarizing detection methods, population statistics, and coevolution of supermassive black holes with host galaxies from early universe observations and simulations.
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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Bounds on the radius of black hole shadows in n-dimensional Einstein gravity
Proves model-independent lower bound r_sh ≥ ((n-1)/2)^{1/(n-3)} sqrt((n-1)/(n-3)) r_H under WEC and upper bound r_sh ≤ sqrt((n-1)/(n-3)) [(n-1)M]^{1/(n-3)} under WEC+SEC+decay for nD black holes.
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Relativistic Thermal Emission from Accretion Disks in Kerr-MOG Spacetimes
Kerr-MOG accretion disk spectra are softer than Kerr at fixed spin due to outward ISCO shift from the fifth-force parameter α, with an observational upper limit α < 0.044 from LMC X-1 data.
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Pair-Rich Corona of an Accreting Kerr Black Hole
A Monte Carlo model of a Kerr black hole corona shows that photon collisions create a dense electron-positron pair cloud concentrated near the black hole, yielding X-ray temperatures, Compton parameters, and 4-10% polarization consistent with binary black hole observations.
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Time-reversed Shannon entropy as a chaos indicator for non-integrable systems
Time-reversed Shannon entropy distinguishes chaotic from regular orbits in Kerr and Schwarzschild-Melvin spacetimes by quantifying forward-backward asymmetry in probability distributions.
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A public relativistic transfer function model for X-ray reverberation mapping of accreting black holes
A new public relativistic transfer-function model reltrans for X-ray reverberation mapping that fits both spectra and lags to measure black-hole masses.
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RAD@home discovery of a bow-and-arrow radio galaxy tracing a ~560 kpc bow-shock structure in a multi-halo environment
Citizen science discovery of a bow-and-arrow radio galaxy with ~560 kpc bow-shock-like structure in a multi-halo environment at z=0.159.
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Analytic thin disks and rings in a class of nonasymptotically flat static spacetimes
External quadrupolar distortion imprints on orbital dynamics and accretion structure in thin disks around deformed compact objects, with the radiating region's outer edge tied to the radiation-to-gas pressure transition.
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Ergosphere Geometry and Thermodynamic Properties of Boosted Kerr-Taub-NUT Solutions in Kaluza-Klein Theory
A Kaluza-Klein boost on Kerr-Taub-NUT enlarges the physical ergoregion volume without altering horizon radius, entropy, or temperature, while adding dyonic work terms to the first law.
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Magnetic reconnection under centrifugal and gravitational electromotive forces
Centrifugal and gravitational forces both raise magnetic reconnection rates near Kerr black holes, with gravity separating charges and centrifugal force shortening the current sheet via curved geometry seen by a comoving observer.
-
Spectral analysis of magnetized advective accretion flows around rotating black holes
MHD and GRMHD simulations of magnetized accretion flows around rotating black holes show distinct bolometric luminosities and synchrotron-to-SSC peak ratios between SANE and MAD states that can distinguish magnetic field properties.
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The link between obscured accretion and mildly relativistic precessing jets
Observational evidence links obscured super-Eddington accretion to slower precessing jets in stellar-mass compact object systems, contrasting with fixed fast jets in low-density environments.
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Robustness of the relativistic intermediate-axis instability around dark-matter-dressed rotating black holes
Increasing enclosed dark matter normalization lowers the flip frequency relative to Kerr while more extended DM profiles weaken the response in the effective response model.
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Testing loop quantum gravity through EHT observations of M87* and Sgr A* using rotating holonomy-corrected black holes
EHT angular diameter data yield upper bounds on the holonomy correction b (e.g., b ≤ 0.1319M at a=0 for M87*) showing nonzero b remains consistent with observations for RHCBH spacetimes.
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Massive particle surfaces and black hole shadows from intrinsic curvature
Extends intrinsic curvature criteria for massive particle surfaces to stationary spacetimes and demonstrates application to black hole shadows in Kerr-family and Einstein-Maxwell-dilaton solutions.
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Energy Extraction via Magnetic Reconnection from a Rotating Dyonic Black Hole in $N = 2, \ U(1)^2$ Gauged Supergravity
Energy extraction via Comisso-Asenjo magnetic reconnection from rotating dyonic black holes in N=2 U(1)^2 gauged supergravity is possible but tightly limited by gauge coupling g and dyonic charges, peaking at intermediate spins rather than near-extremal.
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Massive black holes and their galaxies
A review summarizing detection methods, population statistics, and coevolution of supermassive black holes with host galaxies from early universe observations and simulations.
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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.