Traversable wormholes with vanishing sound speed in f(R) gravity
Capozziello S. Luongo O. Mauro L.
February 2021Springer Science and Business Media Deutschland GmbH
European Physical Journal Plus
2021#136Issue 2
We derive exact traversable wormhole solutions in the framework of f(R) gravity with no exotic matter and with stable conditions over the geometric fluid entering the throat. For this purpose, we propose power-law f(R) models and two possible approaches for the shape function b(r)/r. The first approach makes use of an inverse power-law function, namely b(r) / r∼ r-1-β. The second one adopts Padé approximants, used to characterize the shape function in a model-independent way. We single out the P(0, 1) approximant where the fluid perturbations are negligible within the throat, if the sound speed vanishes at r= r. The former guarantees an overall stability of the geometrical fluid into the wormhole. Finally, we get suitable bounds over the parameters of the model for the above discussed cases. In conclusion, we find that small deviations from general relativity give stable solutions.
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Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Via Cinthia, Napoli, 80126, Italy
Scuola Superiore Meridionale, Largo S. Marcellino 10, Napoli, 80138, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cinthia, Napoli, Italy
Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), Tomsk, Russian Federation
Physics Division, University of Camerino, Via Madonna delle Carceri, Camerino, Italy
Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo, Pisa, Italy
National Nanotechnology Laboratory of Open Type (NNLOT), Al-Farabi Kazakh National University, Al-Farabi av. 71, Almaty, 050040, Kazakhstan
Dipartimento di Matematica e Fisica, Università degli Studi “Roma Tre”, Via della Vasca Navale, Rome, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Frascati, Via Enrico Fermi, Rome, Italy
Dipartimento di Fisica “E. Pancini”
Scuola Superiore Meridionale
Istituto Nazionale di Fisica Nucleare (INFN)
Laboratory of Theoretical Cosmology
Physics Division
Dipartimento di Matematica
National Nanotechnology Laboratory of Open Type (NNLOT)
Dipartimento di Matematica e Fisica
Istituto Nazionale di Fisica Nucleare
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