Merging matter and geometry in the same Lagrangian
arXiv:1506.03278 · doi:10.1016/j.physletb.2015.11.023
Abstract
We show that a Lagrangian density proportional to 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.
References in corpus (14)
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- The Confrontation between General Relativity and Experiment
- Extra force in modified theories of gravity
- Extended Theories of Gravity and their Cosmological and Astrophysical Applications
- f(R,L_m) gravity
- Modified gravity with arbitrary coupling between matter and geometry
- Generalized curvature-matter couplings in modified gravity
- Do f(R) theories matter?
- Extended gravity with generalized scalar field and kinetic term dependences
- New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
- Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
- Breaking of the equivalence principle in the electromagnetic sector and its cosmological signatures
- Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
- Observables in theories with a varying fine structure constant
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- Compact Objects in Entangled Relativity
- Constraining massless dilaton theory at Solar system scales with the planetary ephemeris INPOP
- De Sitter space-times in Entangled Relativity
- Charged black hole and radiating solutions in entangled relativity
- Analytical external spherical solutions in entangled relativity
- On the Principle of Relativity of Inertia in both General and Entangled Relativities
- Compact objects with scalar charge embedded in a magnetic or electric field in Einstein-Maxwell-dilaton theories
- Slowly rotating and charged Black-holes in Entangled Relativity
- Deviations from the von Laue condition: Implications for the on-shell Lagrangian of particles and fluids
- Radiating solutions in Entangled Relativity
- Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories
- Lagrangian Identity and Mass Evolution of Particle-like Objects in Nonminimally Coupled Gravity