An MST-type analytic solution for the reduced confluent Heun equation of 5d Schwarzschild-Tangherlini scalar perturbations is constructed and its angular-momentum parameter matches the Seiberg-Witten value.
Di Russo, M
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abstract
We analyze scalar wave emission from unbound orbits in a Topological Star spacetime. Our study uses a self-force approach and leads to a Post-Newtonian reconstruction of the field along the orbit, both in the time domain and in the frequency domain. We also compute leading-order radiation losses, namely energy and angular momentum.
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LISA can constrain non-axisymmetric mass quadrupole deformations at the 10^{-3} level and axisymmetric mass octupole deformations at the 10^{-2} level in EMRI signals to test fuzzball proposals.
Bound states of a massive scalar field around topological stars form strictly normal modes, producing a hydrogen-like spectrum when the Compton wavelength exceeds the star size and localized states otherwise.
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5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation
An MST-type analytic solution for the reduced confluent Heun equation of 5d Schwarzschild-Tangherlini scalar perturbations is constructed and its angular-momentum parameter matches the Seiberg-Witten value.
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Are Black Holes Fuzzballs? Probing Horizon-Scale Structure with LISA
LISA can constrain non-axisymmetric mass quadrupole deformations at the 10^{-3} level and axisymmetric mass octupole deformations at the 10^{-2} level in EMRI signals to test fuzzball proposals.
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Gravitational Atoms from Topological Stars
Bound states of a massive scalar field around topological stars form strictly normal modes, producing a hydrogen-like spectrum when the Compton wavelength exceeds the star size and localized states otherwise.