Regular Article - Theoretical Physics
Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, Via Cintia, 80126, Naples, Italy
2 Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128, Karlsruhe, Germany
3 Institute for Nuclear Physics, Karlsruhe Institute of Technology (KIT), Hermann-von-Helmholtz-Platz 1, 76344, Eggenstein-Leopoldshafen, Germany
4 Università degli studi di Napoli “Federico II”, Dipartimento di Fisica “Ettore Pancini”, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Naples, Italy
5 Scuola Superiore Meridionale, Largo S. Marcellino 10, 80138, Naples, Italy
6 Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Naples, Italy
7 Tomsk State Pedagogical University, ul. Kievskaya, 60, 634061, Tomsk, Russia
8 Lab. Theor. Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050, Tomsk, Russia
Accepted: 3 February 2021
Published online: 15 February 2021
Static and spherically symmetric wormhole solutions can be reconstructed in the framework of curvature based Extended Theories of Gravity. In particular, extensions of the General Relativity, in metric and curvature formalism give rise to modified gravitational potentials, constituted by the classical Newtonian potential and Yukawa-like corrections, whose parameters can be, in turn, gauged by the observations. Such an approach allows to reconstruct the spacetime out of the wormhole throat considering the asymptotic flatness as a physical property for the related gravitational field. Such an argument can be applied for a large class of curvature theories characterising the wormholes through the parameters of the potentials. According to this procedure, possible wormhole solutions could be observationally constrained. On the other hand, stable and traversable wormholes could be a direct probe for this class of Extended Theories of Gravity.
© The Author(s) 2021
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