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RESEARCH PRODUCT

Schwarzschild Interior in Conformally Flat Form

Alicia HerreroJuan Antonio Morales

subject

PhysicsClassical mechanicsPhysics and Astronomy (miscellaneous)Schwarzschild coordinatesPlane (geometry)Kerr metricSchwarzschild geodesicsSchwarzschild metricDeriving the Schwarzschild solutionPhoton sphereSchwarzschild radiusMathematical physics

description

A unified conformally flat form of the static Schwarzschild interior space–times is provided. A new parameter that allows us to analyze the symmetry (spherical, plane or hyperbolic) of the three well known classes of metrics is introduced. In the spherically symmetric case, this parameter is related to the historical limit value of the mass to radius ratio found by Schwarzschild for a sphere of incompressible fluid.

https://doi.org/10.1023/b:gerg.0000038471.56590.0c