Nonlinear Maxwell’s theory mimics dark energy. (English) Zbl 07909954
Summary: In a recent study [J. Sadeghi and S. N. Gashti [Phys. Lett., B 853, Article ID 138651, 7 p. (2024; Zbl 07863486)] the so-called Reissner-Nordström (RN) black hole surrounded by perfect fluid dark matter (PFDM) has been investigated. Here in this Letter, we prove that technically such a black hole does not exist in the context of Maxwell’s linear theory coupled minimally to a PFDM. Furthermore, it is shown that this black hole is the result of nonlinear corrections to the linear Maxwell’s Lagrangian in the Einstein-Maxwell theory. The energy-momentum tensor is split into Maxwell’s linear theory and a correction term. The latter, i.e., the correction part of the energy-momentum tensor, represents an anisotropic dark energy. This result raises the question if nonlinear electrodynamics can be the source of dark matter/energy.
MSC:
| 83C57 | Black holes |
| 83C50 | Electromagnetic fields in general relativity and gravitational theory |
| 83C56 | Dark matter and dark energy |
Citations:
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