@Article{AraújoFort:2023:NoApAp,
               author = "Ara{\'u}jo, Jos{\'e} Carlos Neves de and Fortes, Hemily Gomes 
                         Marciano",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)}",
                title = "Solving Tolman-Oppenheimer-Volkoff Equations in f(T) Gravity: a 
                         Novel Approach Applied to Polytropic Equations of State",
              journal = "Brazilian Journal of Physics",
                 year = "2023",
               volume = "53",
               number = "3",
                pages = "e75",
                month = "June",
             keywords = "Alternative theories of gravity, Neutron star.",
             abstract = "The Teleparallel Theory is an alternative theory of gravity 
                         equivalent to general relativity (GR) and with non-vanishing 
                         torsion T. Some extensions of this theory, the so-called f(T) 
                         models, have been subject of many recent works. The purpose of our 
                         work in the end is to consider recent results for a specific 
                         family of f(T) models by using their corresponding 
                         Tolman-Oppenheimer-Volkof equation to describe compact objects 
                         such as neutron stars. By performing numerical calculations, it is 
                         possible to find, among other things, the maximum mass allowed by 
                         the model for a neutron star for a given equation of state (EOS), 
                         which would also allow us to evaluate which models are in 
                         accordance with observations. To begin with, the present work, the 
                         second in the series, considers polytropic EOSs since they can 
                         offer a simpler and satisfactory description for the compact 
                         objects. In addition, with these EOSs, we can already assess how 
                         different the f(T) theories are in relation to GR with respect to 
                         the stellar structure. Moreover, there is only a few studies in 
                         f(T) regarding polytropic EOSs; therefore, there is space for 
                         further studies. The results already known to GR must be 
                         reproduced to some extent and, eventually, we can find models that 
                         allow higher maximum masses than GR itself, which could explain, 
                         for example, the secondary component of the event GW190814. This 
                         particular issue is subject of another paper, the third in the 
                         series, where realistic EOSs are considered.",
                  doi = "10.1007/s13538-023-01293-x",
                  url = "http://dx.doi.org/10.1007/s13538-023-01293-x",
                 issn = "0103-9733",
             language = "en",
           targetfile = "s13538-023-01293-x.pdf",
        urlaccessdate = "16 jun. 2024"
}