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- W2149346503 abstract "The weak-field and slow-motion limit of $f(R,mathcal{G})$ gravity is developed up to $(v/c)^{4}$ order in a spherically symmetric background. Considering the Taylor expansion of a general function $f$ around vanishing values of $R$ and $mathcal{G}$, we present general vacuum solutions up to $(v/c)^{4}$ order for the gravitational field generated by a ball-like source. The spatial behaviors at $(v/c)^{2}$ order are the same for $f(R,mathcal{G})$ gravity and $f(R)$ gravity, and their corresponding real valued static behaviors are presented and compared with the one in general relativity. The static Yukawa-like behavior is proved to be compatible with the previous result of the most general fourth-order theory. At $(v/c)^{4}$ order, the static corrections to the Yukawa-like behavior for $f(R,mathcal{G})$ gravity, $f(R)$ gravity, and the Starobinsky gravity are presented and compared with the one in general relativity." @default.
- W2149346503 created "2016-06-24" @default.
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- W2149346503 date "2015-08-10" @default.
- W2149346503 modified "2023-10-14" @default.
- W2149346503 title "Spherically symmetric solution of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>f</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant=script>G</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>gravity at low energy" @default.
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- W2149346503 doi "https://doi.org/10.1103/physrevd.92.044012" @default.
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