TL;DR
This paper introduces exact Einstein-Maxwell solutions with complex multipole structures, revealing how gravitational multipoles influence spacetime and naked singularities, and explores potential interior solutions for specific cases.
Contribution
It presents a new class of exact solutions with infinite multipole moments, advancing understanding of gravitational and electromagnetic field interactions in rotating bodies.
Findings
Solutions contain infinite gravitoelectric, gravitomagnetic, and electromagnetic multipoles.
Presence of multipoles leads to naked singularities in spacetime.
Interior solutions may cover singular regions for specific quadrupole cases.
Abstract
A class of exact solutions of the Einstein-Maxwell equations is presented which contains infinite sets of gravitoelectric, gravitomagnetic and electromagnetic multipole moments. The multipolar structure of the solutions indicates that they can be used to describe the exterior gravitational field of an arbitrarily rotating mass distribution endowed with an electromagnetic field. The presence of gravitational multipoles completely changes the structure of the spacetime because of the appearance of naked singularities in a confined spatial region. The possibility of covering this region with interior solutions is analyzed in the case of a particular solution with quadrupole moment.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Pulsars and Gravitational Waves Research