Reconstructing wormhole solutions in curvature based Extended Theories of Gravity

Abstract 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 th...

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Main Authors: Vittorio De Falco, Emmanuele Battista, Salvatore Capozziello, Mariafelicia De Laurentis
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-08958-4
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author Vittorio De Falco
Emmanuele Battista
Salvatore Capozziello
Mariafelicia De Laurentis
author_facet Vittorio De Falco
Emmanuele Battista
Salvatore Capozziello
Mariafelicia De Laurentis
author_sort Vittorio De Falco
collection DOAJ
description Abstract 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.
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spelling doaj.art-d24ea02668cb4a25ae8d075cf57dd2d62022-12-21T19:05:06ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-02-018121910.1140/epjc/s10052-021-08958-4Reconstructing wormhole solutions in curvature based Extended Theories of GravityVittorio De Falco0Emmanuele Battista1Salvatore Capozziello2Mariafelicia De Laurentis3Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico IIInstitute for Theoretical Physics, Karlsruhe Institute of Technology (KIT)Università degli studi di Napoli “Federico II”, Dipartimento di Fisica “Ettore Pancini”, Complesso Universitario di Monte S. AngeloUniversità degli studi di Napoli “Federico II”, Dipartimento di Fisica “Ettore Pancini”, Complesso Universitario di Monte S. AngeloAbstract 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.https://doi.org/10.1140/epjc/s10052-021-08958-4
spellingShingle Vittorio De Falco
Emmanuele Battista
Salvatore Capozziello
Mariafelicia De Laurentis
Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
European Physical Journal C: Particles and Fields
title Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
title_full Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
title_fullStr Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
title_full_unstemmed Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
title_short Reconstructing wormhole solutions in curvature based Extended Theories of Gravity
title_sort reconstructing wormhole solutions in curvature based extended theories of gravity
url https://doi.org/10.1140/epjc/s10052-021-08958-4
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AT mariafeliciadelaurentis reconstructingwormholesolutionsincurvaturebasedextendedtheoriesofgravity