The thesis derives explicit first integrals and Killing tensors for geodesics in near-horizon Myers-Perry black holes, introduces a B-memory formulation of gravitational memory, and constructs resonant spacetimes from superintegrable quantum systems.
Symmetries in superintegrable deformations of oscillator/Coulomb systems: "holomorphic factorization"
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abstract
We propose a unified description for the constants of motion for superintegrable deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space, sphere and hyperboloid. We also consider the duality between these generalized systems and present some example.
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hep-th 1years
2019 1verdicts
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Integrable systems connected with black holes
The thesis derives explicit first integrals and Killing tensors for geodesics in near-horizon Myers-Perry black holes, introduces a B-memory formulation of gravitational memory, and constructs resonant spacetimes from superintegrable quantum systems.