New Schwarzschild-like solutions in $f(T)$ gravity through Noether symmetries

New Schwarzschild-like solutions in $f (T)$ gravity through Noether symmetries

A. Paliathanasis, S. Basilakos, E. N. Saridakis, S. Capozziello, K. Atazadeh, F. Darabi, and M. Tsamparlis

Phys. Rev. D 89, 104042 – Published 22 May 2014

Abstract

Spherically symmetric solutions for $f (T)$ gravity models are derived by the so-called Noether symmetry approach. First, we present a full set of Noether symmetries for some minisuperspace models. Then, we compute analytical solutions and find that spherically symmetric solutions in $f (T)$ gravity can be recast in terms of Schwarzschild-like solutions modified by a distortion function depending on a characteristic radius. The obtained solutions are more general than those obtained by the usual solution methods.

Received 26 February 2014

DOI:https://doi.org/10.1103/PhysRevD.89.104042

Authors & Affiliations

A. Paliathanasis^1,2,3,*, S. Basilakos^4,†, E. N. Saridakis^5,6,‡, S. Capozziello^2,3,7,§, K. Atazadeh^8,9,∥, F. Darabi^8,¶, and M. Tsamparlis^1,**

¹Faculty of Physics, Department of Astrophysics–Astronomy–Mechanics, University of Athens, Panepistemiopolis, Athens 157 83, Greece
²Dipartimento di Fisica, Universita’ di Napoli, “Federico II,” Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
³INFN Sez. di Napoli, Complesso Universitario di Monte S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy
⁴Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efesiou 4, 11527, Athens, Greece
⁵Physics Division, National Technical University of Athens, 15780 Zografou Campus, Athens, Greece
⁶Instituto de Física, Pontificia Universidad de Católica de Valparaíso, Casilla 4950, Valparaíso, Chile
⁷Gran Sasso Science Institute (INFN), Viale F. Crispi, 7, I-67100 L’Aquila, Italy
⁸Department of Physics, Azarbaijan Shahid Madani University, Tabriz 53714-161, Iran
⁹Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha 55134-441, Iran

^*anpaliat@phys.uoa.gr
^†svasil@Academyofathens.gr
^‡Emmanuel_Saridakis@baylor.edu
^§capozzie@na.infn.it
^∥atazadeh@azaruniv.ac.ir
^¶f.darabi@azaruniv.edu
^**mtsampa@phys.uoa.gr

Noether symmetries and analytical solutions in $f (T)$ cosmology: A complete study

S. Basilakos, S. Capozziello, M. De Laurentis, A. Paliathanasis, and M. Tsamparlis

Phys. Rev. D 88, 103526 (2013)

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Vol. 89, Iss. 10 — 15 May 2014

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