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Disformal Gravity Theories: A Jordan Frame Analysis

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arxiv 1509.05679 v3 pith:NDWWF3P3 submitted 2015-09-17 gr-qc astro-ph.COhep-th

Jeremy Sakstein , Sarunas Verner This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords framedisformaljordantheoriesanalysiscaseeinsteingeneral
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abstract

The Jordan frame action for general disformal theories is presented and studied for the first time, motivated by several unresolved mysteries that arise when working in the Einstein frame. We present the Friedmann equations and, specialising to exponential functions, study the late-time cosmology using dynamical systems methods and by finding approximate solutions. Our analysis reveals that either the disformal effects are irrelevant or the universe evolves towards a phantom phase where the equation of state of dark energy is $-3$. There is a marginal case where the asymptotic state of the universe depends on the model parameters and de-Sitter solutions can be obtained. Our findings indicate that the metric singularity found using the Einstein frame construction corresponds phantom behaviour in the Jordan frame and we argue that this is the case for general disformal theories.

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Cited by 2 Pith papers

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