Teukolsky Master Equation for a Kerr-like metric with Mass Quadrupole Moment

@misc{gomez2026teukolsky,
  title = {{Teukolsky Master Equation for a Kerr-like metric with Mass Quadrupole Moment}},
  author = {Pedro Gómez and Adrián Eduarte-Rojas and Francisco Frutos-Alfaro and Antonio Banichevich},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30990},
  eprint = {2609.30990},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30990},
}

TY  - UNPB
TI  - Teukolsky Master Equation for a Kerr-like metric with Mass Quadrupole Moment
AU  - Pedro Gómez
AU  - Adrián Eduarte-Rojas
AU  - Francisco Frutos-Alfaro
AU  - Antonio Banichevich
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.30990
UR  - https://arxiv.org/abs/2609.30990
AB  - The Teukolsky Master Equation (TME) is a powerful technique used to study perturbations of a spacetime with gravitational, electromagnetic, and neutrino components. The well-known Kerr metric is a suitable candidate for this formalism because it is a Petrov type D metric. However, the Kerr metric represents the exterior spacetime of a perfect sphere and only black holes are described using this metric. For another astrophysical object, such as fast-spinning neutron stars, the Kerr metric is not valid due to the rotation induced deformations to the gravitational source. The main goal of the present work is to show a TME for a Kerr-like metric (KL) with a mass quadrupole moment parameter q. This new parameter will represent deformations from a perfect sphere; therefore, KL is a better candidate to study perturbations surrounding spinning stars.
ER  -