Eikonal black hole ringings in generalized energy-momentum squared gravity

Journal Article · 11 March 2020 · Physical Review D

DOI: https://doi.org/10.1103/physrevd.101.064021 · OSTI ID:1608318

Chen, Che-Yu  ^[1]; Chen, Pisin ^[2]

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1. National Taiwan Univ., Taipei (Taiwan)
2. National Taiwan Univ., Taipei (Taiwan); SLAC National Accelerator Lab., Menlo Park, CA (United States)

In the scope of black hole spectroscopy, several attempts have been made in the past decades to test black holes or gravitational theories via black hole quasinormal modes. In the eikonal approximation, the quasinormal modes are generically associated with the photon ring of the black hole. This correspondence is valid for most cases in general relativity, but may not be true in other theories of gravity. In this paper, we consider the generalized energy-momentum squared gravity in which matter fields are nonminimally coupled to geometry. We investigate the axial perturbations of the charged black holes in this model, without assuming any explicit expression of the action functional. After obtaining the modified Klein-Gordon equation and the modified Maxwell equations, we perturb the gravitational equations and the modified Maxwell equations to derive the coupled master equations of the axial perturbations. In the presence of the nonminimal coupling between matter and geometry, the correspondence between the eikonal quasinormal modes and the photon ring is not satisfied in general. Also, the two coupled fields of the axial perturbations are found to propagate independently, and they do not share the same quasinormal frequencies in the eikonal limit.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: 107-2119-M-002-005; 108-2811-M-002-682; AC02-76SF00515
• OSTI ID: 1608318
• Alternate ID(s): OSTI ID: 1604222
• Journal Information: Physical Review D, Vol. 101, Issue 6; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English