TY - JOUR
T1 - Regular decoupling sector and exterior solutions in the context of MGD
AU - Contreras, Ernesto
AU - Tello-Ortiz, Francisco
AU - Maurya, S. K.
N1 - Publisher Copyright:
© 2020 IOP Publishing Ltd.
PY - 2020/8/6
Y1 - 2020/8/6
N2 - We implement the gravitational decoupling through the minimal geometric deformation method and explore its effect on exterior solutions by imposing a regularity condition in the Tolman-Oppenheimer-Volkoff equation of the decoupling sector. We obtain that the decoupling function can be expressed formally in terms of an integral involving the g tt component of the metric of the seed solution. As a particular example, we implement the method by using the Schwarzschild exterior as a seed and we obtain that the asymptotic behavior of the extended geometry corresponds to a manifold with constant curvature.
AB - We implement the gravitational decoupling through the minimal geometric deformation method and explore its effect on exterior solutions by imposing a regularity condition in the Tolman-Oppenheimer-Volkoff equation of the decoupling sector. We obtain that the decoupling function can be expressed formally in terms of an integral involving the g tt component of the metric of the seed solution. As a particular example, we implement the method by using the Schwarzschild exterior as a seed and we obtain that the asymptotic behavior of the extended geometry corresponds to a manifold with constant curvature.
KW - exterior solutions
KW - gravitational decoupling
KW - minimal geometric deformation
UR - http://www.scopus.com/inward/record.url?scp=85089412401&partnerID=8YFLogxK
U2 - 10.1088/1361-6382/ab9c6d
DO - 10.1088/1361-6382/ab9c6d
M3 - Artículo
AN - SCOPUS:85089412401
SN - 0264-9381
VL - 37
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
IS - 15
M1 - 155002
ER -