摘要
This paper investigates static axially symmetric models in self-interacting Brans–Dicke gravity. We discuss physically feasible sources of models, derive field equations as well as evolution equations from Bianchi identities and construct structure scalars. Using these scalars and evolution equations, the inhomogeneity factors of the system are evaluated. It is found that structure scalars related to double dual of Riemann tensor control the density inhomogeneity.Finally, we obtain exact solutions of homogenous isotropic and inhomogeneous anisotropic spheroid models. It turns out that homogenous solutions reduce to Schwarzschild type interior solutions for a spherical case. We conclude that homogenous models involve homogenous distribution of scalar field whereas inhomogeneous correspond to inhomogeneous scalar field.
This paper investigates static axially symmetric models in self-interacting Brans-Dicke gravity. We discuss physically feasible sources of models, derive field equations as well as evolution equations from Bianchi identities and construct structure scalars. Using these scalars and evolution equations, the inhomogeneity factors of the system are evaluated. It is found that structure scalars related to double dual of Riemann tensor control the density inhomogeneity. Finally, we obtain exact solutions of homogenous isotropic and inhomogeneous anisotropic spheroid models. It turns out that homogenous solutions reduce to Schwarzschild type interior solutions for a spherical case. We conclude that homogenous models involve homogenous distribution of scalar field whereas inhomogeneous correspond to inhomogeneous sca/ar field.
作者
M.Sharif
Rubab Manzoor
M. Sharif Rubab Manzoor(Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan Department of Mathematics, University of Management and Technology, Johar Town Campus, Lahore-54782, Pakistan)
关键词
轴对称模型
自相互作用
标量控制
结构
重力
静态
非均匀分布
不均匀性
self-interacting Brans Dicke Theory, self-gravitating systems, structure scalars, Non-sphericalsources, interior solutions