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Gravity with a generalized conformal scalar field: Theory and solutions
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We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a scalar-Gauss-Bonnet sector and has second-order equations of motion, belonging to the Horndeski class. Remarkably, the theory features a purely geometrical field equation that allows for closed-form black hole solutions and cosmologies to be easily found. These solutions permit investigations of in-vogue scalar-Gauss-Bonnet corrections to the gravitational action without the need of resorting to approximations or numerical methods. We discuss on the connection to the recently formulated 4D Einstein-Gauss-Bonnet theory of gravity.
Forward citations
Cited by 2 Pith papers
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On the analogue of Einstein-Gauss-Bonnet theory in 3+1 dimensions
The trace anomaly effective action reproduces Einstein-Gauss-Bonnet Friedmann equations and perturbation spectra on FRW backgrounds with a specific scalar field solution.
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D-dimensional black holes in extended Gauss-Bonnet gravity
Charged and rotating anti-de Sitter black hole solutions are constructed in extended Gauss-Bonnet gravity for dimensions three, four, five and higher.
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