A novel way to metric of higher dimensional rotating black holes. (arXiv:2205.02231v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Dastgerdi_A/0/1/0/all/0/1">Amin Aghababaie Dastgerdi</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Mirza_B/0/1/0/all/0/1">Behrouz Mirza</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Dadhich_N/0/1/0/all/0/1">Naresh Dadhich</a>
We wish to carry forward to higher dimensions the insightful and novel method
of obtaining the Kerr metric proposed by one of us in cite{Dadhich} for
deriving Myers-Perry rotating black hole metric. We begin with a flat spacetime
metric written in oblate spheroidal coordinates (ellipsoidal geometry)
appropriate for inclusion of rotation, and then introduce arbitrary functions
to bring in gravitational potential due to mass which are then determined by
requiring that massless particle experiences no acceleration while massive
particle feels the Newtonian acceleration at large $r$. We have further
generalized the method to include the cosmological constant $Lambda$ to obtain
the Myers-Perry-dS/AdS black hole metric.
We wish to carry forward to higher dimensions the insightful and novel method
of obtaining the Kerr metric proposed by one of us in cite{Dadhich} for
deriving Myers-Perry rotating black hole metric. We begin with a flat spacetime
metric written in oblate spheroidal coordinates (ellipsoidal geometry)
appropriate for inclusion of rotation, and then introduce arbitrary functions
to bring in gravitational potential due to mass which are then determined by
requiring that massless particle experiences no acceleration while massive
particle feels the Newtonian acceleration at large $r$. We have further
generalized the method to include the cosmological constant $Lambda$ to obtain
the Myers-Perry-dS/AdS black hole metric.
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