2013/08/25 by Ali H. Chamseddine, Viatcheslav Mukhanov · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Covariant transformation #Degrees of freedom (physics and chemistry) #Differential equation #Differential geometry #Equations of motion #Metric (unit) #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Scalar field #astro-ph.CO #hep-th
paper · pdf · doi:10.1007/jhep11(2013)135
published as JHEP 1311 (2013) 135 · 5 pages
arxiv created 2013/08/25 · openalex publication_date 2013/11/01 · arxiv updated 2013/12/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
A bstract We modify Einstein’s theory of gravity, isolating the conformal degree of freedom in a covariant way. This is done by introducing a physical metric defined in terms of an auxiliary metric and a scalar field appearing through its first derivatives. The resulting equations of motion split into a traceless equation obtained through variation with respect to the auxiliary metric and an additional differential equation for the trace part. As a result the conformal degree of freedom becomes dynamical even in the absence of matter. We show that this extra degree of freedom can mimic cold dark matter.