Gravitational wave signatures from periodic orbits around a non-commutative inspired black hole surrounded by quintessence

Abstract We study gravitational wave emission from periodic orbits of a test particle around a noncommutative-inspired black hole surrounded by quintessence. Using the zoom-whirl taxonomy, which is characterized by three topological numbers ( z, w, v ), we classify these orbits and calculate several representative gravitational waveforms for certain periodic orbits. We find that the noncommutative parameter Θ and the quintessence field significantly modify both the orbital structure and the emitted waveforms. In particular, increasing Θ leads to a phase shift and a change in amplitude in the waveform, while higher zoom numbers produce more complicated substructures. The characteristic strain spectra peak in…

• NN
  National Natural Science Foundation of China

  Awards: 12275238, 11675143, LR21A050001, LY20A050002
• NK
  National Key Research and Development Program of China

  Awards: 11675143, 2020YFC2201503
• NS
  Natural Science Foundation of Zhejiang Province

  Awards: LR21A050001, LY20A050002