Non-commutative corrections move periodic orbits inward, lower the energy needed for a given orbit shape, and generate gravitational waves with phase shifts plus higher amplitude; a bound Θ/M² < 0.014 is extracted from the S2 star's periastron advance.
Taxonomy of periodic orbits and gravitational waves in a non-rotating Destounis-Suvorov-Kokkotas black hole spacetime
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abstract
In this paper, we investigate periodic orbits of test particles around a non-rotating Destounis-Suvorov-Kokkotas black hole and the resulting gravitational waves. Firstly, we examine the properties of circular orbits and find that circular orbits could disappear when the deformation is large enough. Then, using an orbital taxonomy, we characterize various periodic orbits with a triplet of integers, which describes the zoom-whirl behaviours. We also calculate the gravitational waveform signals generated by different periodic orbits, revealing the influence of the deformation on the gravitational wave, which can be potentially picked up by future space-based detectors.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Gravitational Wave Signatures from Periodic Orbits around a Non--commutative Schwarzschild Black Hole
Non-commutative corrections move periodic orbits inward, lower the energy needed for a given orbit shape, and generate gravitational waves with phase shifts plus higher amplitude; a bound Θ/M² < 0.014 is extracted from the S2 star's periastron advance.