Disformal Transformations, Veiled General Relativity and Mimetic Gravity
arXiv:1407.0825 · doi:10.1088/1475-7516/2014/09/002
Abstract
In this Note we show that Einstein's equations for gravity are generically invariant under 'disformations'. We also show that the particular subclass when this is not true yields the equations of motion of 'Mimetic Gravity'. Finally we give the 'mimetic' generalization of the Schwarzschild solution.
References in corpus (13)
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- The Relation between Physical and Gravitational Geometry
- Mimetic Dark Matter
- Disformal invariance of second order tensor-scalar theories: framing the Horndeski action
- Cosmology with Mimetic Matter
- Dust of Dark Energy
- On the recently proposed Mimetic Dark Matter
- DBI Galileons in the Einstein Frame: Local Gravity and Cosmology
- Conformal equivalence in classical gravity: the example of "veiled" General Relativity
- Geometric scalar theory of gravity
- Disformal invariance of Maxwell's field equations
- A new symmetry of the relativistic wave equation
- Hidden geometries in nonlinear theories: a novel aspect of analogue gravity
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