In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
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In dyonic black holes, periodic orbits with identical rotation numbers but spanning different curvature regions generate radiatively distinct gravitational waveforms in EMRIs.
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
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Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
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Topologically equivalent yet radiatively distinct orbits in EMRI system
In dyonic black holes, periodic orbits with identical rotation numbers but spanning different curvature regions generate radiatively distinct gravitational waveforms in EMRIs.
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Topology of black hole thermodynamics: A brief review
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.