Geodesic
Dynamical behavior of stellar structures in $f(\mathcal{G})$ gravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 324-345

Voir la notice de l'article provenant de la source Math-Net.Ru

In the context of modified $f(\mathcal G)$ gravity, we study the appearance of anisotropic compact stellar objects. The space–time geometry is characterized by the metric potentials, and to solve the field equations, we consider their specific form known as the Tolman–Kuchowicz space–time. The obtained solutions are free of singularities and satisfy all requirements for stellar objects. We consider the observational data for models of the stars Cen X-3, EXO 1785-248, and LMC X-4, and taking these data into account, we obtain the values of the physical parameters from the matching conditions for the interior Tolman–Kuchowicz space–time and the exterior Schwarzschild metric. In addition, we discuss some physical attributes of anisotropic compact stellar structures to verify the physical validity and stability of the proposed model. We perform a three-dimensional graphical analysis that allows obtaining a representation of the physical behavior of these compact objects. We note that all three compact objects correspond to physically accepted models.
Keywords: stellar structure, $f(\mathcal G)$ gravity, metric potential. 
@article{TMF_2020_205_2_a7,
     author = {T. Naz and M. F. Shamir},
     title = {Dynamical behavior of stellar structures in $f(\mathcal{G})$ gravity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {324--345},
     publisher = {mathdoc},
     volume = {205},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a7/}
}
TY  - JOUR
AU  - T. Naz
AU  - M. F. Shamir
TI  - Dynamical behavior of stellar structures in $f(\mathcal{G})$ gravity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2020
SP  - 324
EP  - 345
VL  - 205
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a7/
LA  - ru
ID  - TMF_2020_205_2_a7
ER  - 
%0 Journal Article
%A T. Naz
%A M. F. Shamir
%T Dynamical behavior of stellar structures in $f(\mathcal{G})$ gravity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2020
%P 324-345
%V 205
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a7/
%G ru
%F TMF_2020_205_2_a7
T. Naz; M. F. Shamir. Dynamical behavior of stellar structures in $f(\mathcal{G})$ gravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 205 (2020) no. 2, pp. 324-345. http://geodesic.mathdoc.fr/item/TMF_2020_205_2_a7/