Browsing by Author "Arratia Kandalaft, Esteban Daniel"
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Item Equilibrio Estelar en Einstenian Cubic Gravity. Un ejemplo aplicado a estrellas de neutrones en D = 4.(Universidad de Concepción, 2023) Arratia Kandalaft, Esteban Daniel; Rubilar Alegría, Guillermo Francisco; Fierro Mondaca, Octavio ArielIn this work neutron star solutions modelled using a static and spherically symmetrical perfect fluid in the cubic curvature theory of Einsteinian Cubic Gravity (ECG) for D = 4, through the construction of a perturbative model of stellar equilibrium. Due to the complexity of the equations of motion of ECG, and in particular to the presence of higher derivatives in the equations, we have chosen to use perturbative methods to obtain solutions, taking as expansion parameter the coupling constant introduced by the theory. As a result, we obtain a first order system of equations that describes the inner structure of stars in this theory. Analysing the behavior of the equations we found that the metric form outside the star agrees with the perturbed black hole solution in D = 4 reported in other works in this theory. Considering an ideal Fermi gas at zero temperature as a model of degenerated neutron stars, it was possible to obtain by numerical means a set of neutron star solutions for different values of the parameter and the central density of the star. Each of these solutions has a characteristic mass-radius value as well as pressure and density profiles inside the star. We compare these results with the corresponding solutions of the analogous case in General Relativity (GR), which can be obtained independently and from the limit ! 0. Additionally, we found that ECG solutions match GR solutions for low central density regime ( c . 1013[g=cm3]). For higher central densities the ECG solutions differ from those of GR and are more dense given the same central density value.