Energy Conditions in Jordan Frame

Abstract

The null energy condition, in its usual form, can appear to be violated by transformations in the conformal frame of the metric. We propose a generalization of the form of the null energy condition to Jordan frame, in which matter is non-minimally coupled, which reduces to the familiar form in Einstein frame. Using our version of the null energy condition, we provide a direct proof of the second law of black hole thermodynamics in Jordan frame.

This version to be published in CQG

References in corpus (3)

• Galileon Cosmology
• Dark Energy, Inflation and Extra Dimensions
• DBI Genesis: An Improved Violation of the Null Energy Condition

Cited by in corpus (18)

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• On the past-completeness of inflationary spacetimes
• Derivation of the Null Energy Condition
• Thermodynamic Origin of the Null Energy Condition
• Noether and Abbott-Deser-Tekin conserved quantities in scalar-tensor theory of gravity both in Jordan and Einstein frames
• Note on the equation of state of geometric dark-energy in f(R) gravity
• Two Roads to the Null Energy Condition
• Intricacies of Cosmological bounce in polynomial metric $f(R)$ gravity for flat FLRW spacetime
• On Coupling NEC-Violating Matter to Gravity
• Eternal Universes
• The Stringy Origins of Galileons and their Novel Limit
• How Much NEC Breaking Can the Universe Endure?
• Gauss-Bonnet black holes in a special anisotropic scaling spacetime
• Cosmic acceleration from string induced Galileons