Ernst formulation of axisymmetric fields in $f(R)$ gravity: applications to neutron stars and gravitational waves
The Ernst formulation of the Einstein equations is generalised to accommodate $f(R)$ theories of gravity. It is shown that, as in general relativity, the axisymmetric $f(R)$ field equations for a vacuum spacetime that is either stationary or cylindrically symmetric reduce to a single, non-linear dif...
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