Separability of the Klein-Gordon equation for rotating spacetimes obtained from Newman-Janis algorithm

Chen, Che-Yu; Chen, Pisin

doi:10.1103/PhysRevD.100.104054

Title: Separability of the Klein-Gordon equation for rotating spacetimes obtained from Newman-Janis algorithm

Journal Article · 15 November 2019 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.100.104054 · OSTI ID:1596304

^[1]; Chen, Pisin ^[2]

National Taiwan Univ., Taipei (Taiwan)
National Taiwan Univ., Taipei (Taiwan); Stanford Univ., CA (United States)

In the literature, the Newman-Janis algorithm (NJA) has been widely used to construct stationary and axisymmetric spacetimes to describe rotating black holes. In addition, it has been recently shown that the general stationary and axisymmetric spacetime generated through NJA allows the complete separability of the null geodesic equations. In fact, the Hamilton-Jacobi equation in this spacetime is also separable if one of the metric functions is additively separable. In this work, we further study the conditions for a separable Klein-Gordon equation in such a general spacetime. Here, the relations between the NJA spacetime and other parametrized axially symmetric spacetimes in the literature are also discussed.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; 107-2119-M-002-005; 108-2811-M-002-682

OSTI ID:: 1596304

Journal Information:: Physical Review D, Vol. 100, Issue 10; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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References (48)

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