Compact regular objects from an electrified Tolman-like density: A new interior region for the Kerr-Newman spacetime

• Main Authors: Basso, Marcos L. W, Zanchin, Vilson T
• Format: Journal Article
• Language: English
• Published: 18-06-2024
• Subjects: Physics - General Relativity and Quantum Cosmology
• DOI: 10.48550/arxiv.2406.13032

Charged static and rotating objects as solutions of the Einstein-Maxwell
field equations are obtained and studied in the present work. The full
spacetime geometry is obtained by matching two spacetime regions, an interior
region containing electrified matter and an exterior electrovacuum region. In
the static case, the interior region contains a spherically symmetric
distribution of matter constituted by a de Sitter-type perfect fluid with
electric charge, whose energy density profile is given by a Tolman-like
relation. The interior solution is smoothly matched with the exterior
Reissner-Nordstr\"om electrovacuum solution, thus producing different kinds of
objects, such as charged regular black holes and overcharged tension stars,
that we analyze in detail. We also investigate the connection between the
present static solution and the regular black holes with a de Sitter core
presented in the work by Lemos and Zanchin [Phys. Rev. D 83, 124005 (2011)]. We
then employ the G\"urses-G\"ursey metric and apply the Newman-Janis algorithm
to construct a charged rotating interior geometry from the static interior
solution. The resulting interior metric and the electromagnetic field are
smoothly matched to the exterior Kerr-Newman electrovacuum solution, thus
producing a regular interior for the exterior Kerr-Newman geometry. The main
properties of the complete rotating solution are analyzed in detail, showing
that different kinds of rotating objects, such as charged rotating black holes
and other charged rotating objects, also emerge in this solution.