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- W2482653204 abstract "The Ernst formulation of the Einstein equations is generalized 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, nonlinear differential equation for a complex-valued scalar function. As a worked example, we apply the generalized Ernst equations to derive a $f(R)$ generalization of the Zipoy-Voorhees metric, which may be used to describe the gravitational field outside of an ellipsoidal neutron star. We also apply the theory to investigate the phase speed of large-amplitude gravitational waves in $f(R)$ gravity in the context of solitonlike solutions that display shock-wave behavior across the causal boundary." @default.
- W2482653204 created "2016-08-23" @default.
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- W2482653204 date "2016-08-23" @default.
- W2482653204 modified "2023-10-12" @default.
- W2482653204 title "Ernst formulation of axisymmetric fields in<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow></mml:math>gravity: Applications to neutron stars and gravitational waves" @default.
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- W2482653204 doi "https://doi.org/10.1103/physrevd.94.044045" @default.
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