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The energy density (a), radial pressure (b), and redshift function (c) for a spherical planet with r g = 10 6 m and r s = 10 −6 N s 2 /kg .

The energy density (a), radial pressure (b), and redshift function (c) for a spherical planet with r g = 10 6 m and r s = 10 −6 N s 2 /kg .

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A stationary axisymmetric interior solution for Einstein Field Equations (EFE) is proposed. The suggested interior metric doesn't match the exterior Kerr metric -as expected- but successfully describes a stationary axisymmetric celestial body such as planet earth and many rotating toy planets and stars. None of the resultant physical quantities suc...

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Context 1
... the T θθ and T φφ components are both zero. It is easy to write an equation of state for this spherical source: Figure 3 indicates the energy density, radial pressure, and redshift function for a spherical planet with r s = 10 −6 N s 2 /kg and r g = 10 6 m. According to Figure 3 (d), it is evident that SEC is favored only for half of the source and the other half violates all energy conditions. ...
Context 2
... is easy to write an equation of state for this spherical source: Figure 3 indicates the energy density, radial pressure, and redshift function for a spherical planet with r s = 10 −6 N s 2 /kg and r g = 10 6 m. According to Figure 3 (d), it is evident that SEC is favored only for half of the source and the other half violates all energy conditions. It is interesting that although the source consists of exotic matter, the redshift function is wellbehaved and positive definite. ...

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