Einstein equations and inertial forces in axially symmetric stationary spacetimes

Details Einstein equations and inertial forces in axially symmetric stationary spacetimes Einstein equations and inertial forces in axially symmetric stationary spacetimes

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.2737n&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 12, pp.2737-2756

Computer Science

Inertial Forces, Einstein Equations, Compact Object

Scientific paper

We investigate the relations between the inertial forces and the Einstein equations in axially symmetric stationary spacetimes. For the vacuum stationary axially symmetric spacetimes, we use the Geroch formalism to express the Einstein equations in terms of inertial forces. For the spacetimes with the perfect fluid sources, we use the formalism developed by Hansen and Winicour for establishing the relations. As expected intuitively, the gradients of inertial forces represent the field equations.

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