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arXiv · 1506.03278

Merging matter and geometry in the same Lagrangian

Hendrik Ludwig·Olivier Minazzoli·Salvatore Capozziello
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Abstract

We show that a Lagrangian density proportional to $\sqrt{-g} Ł_m^2/R$ reduces to a pressuron theory of gravity that is indistinguishable from General Relativity in the dust limit. The combination of matter and geometry in the same Lagrangian density intrinsically satisfies Mach's Principle --- since matter cannot exist without curvature and vice versa --- while it may have the correct phenomenology in order to describe actual gravity.

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Hendrik Ludwig, Olivier Minazzoli, Salvatore Capozziello. 2015-10-19. Merging matter and geometry in the same Lagrangian. https://doi.org/10.1016/j.physletb.2015.11.023

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