A Metric Theory of Gravity with Condensed Matter Interpretation
نویسنده
چکیده
We consider a classical condensed matter theory in a Newtonian framework where conservation laws ∂tρ+ ∂i(ρv ) = 0 ∂t(ρv ) + ∂i(ρv v + p) = 0 are related with the Lagrange formalism in a natural way. For an “effective Lorentz metric” gμν it is equivalent to a metric theory of gravity close to general relativity with Lagrangian L = LGR − (8πG)(Υg − Ξ(g + g + g)) √−g We consider the differences between this theory and general relativity (no nontrivial topologies, stable frozen stars instead of black holes, big bounce instead of big bang singularity, a dark matter term), quantum gravity, and the connection with realism and Bohmian mechanics.
منابع مشابه
A Metrical Theory of Gravity with Condensed Matter Interpretation
We define a metrical theory of gravity with preferred Newtonian frame (X i (x), T (x)) by It allows a condensed matter interpretation which generalizes LET to gravity. The Ξ-term influences the age of the universe. Υ > 0 avoids the big bang singularity. This solves the horizon problem without inflation. Most quantum GR problems disappear. An atomic hypothesis solves the ultraviolet problem by e...
متن کاملA generalization of the Lorentz ether to gravity with general-relativistic limit
We define a class of condensed matter theories in a Newtonian framework with a Lagrange formalism so that a variant of Noether’s theorem gives the classical conservation laws: ∂tρ+ ∂i(ρv ) = 0 ∂t(ρv ) + ∂i(ρv v + p) = 0. We show that for the metric gμν defined by ĝ = g √−g = ρ ĝ = g √−g = ρv ĝ = g √−g = ρvv + p these theories are equivalent to a metric theory of gravity with Lagrangian L = LGR ...
متن کاملDerivation of the Einstein Equivalence Principle for a Class of Condensed Matter Theories
We consider a class of condensed matter theories in a Newtonian framework with a Lagrange formalism so that a variant of Noether’s theorem gives the classical conservation laws: ∂tρ+ ∂i(ρv ) = 0 ∂t(ρv ) + ∂i(ρv v + p) = 0. We show that for the metric gμν defined by ĝ = g √−g = ρ ĝ = g √−g = ρv ĝ = g √−g = ρvv + p these theories are equivalent to a metric theory of gravity with Lagrangian L = LG...
متن کاملDerivation of the Einstein Equivalence Principle in a Class of Condensed Matter Theories
We consider a class of condensed matter theories in a Newtonian framework with a Lagrange formalism related in a natural way with the classical conservation laws ∂tρ+ ∂i(ρv ) = 0 ∂t(ρv ) + ∂i(ρv v + p) = 0 We show that for an algebraically defined “effective Lorentz metric” gμν and “effective matter fields” φ these theories are equivalent to material models of a metric theory of gravity with La...
متن کاملSpherically Symmetric Solutions in a New Braneworld Massive Gravity Theory
In this paper, a combination of the braneworld scenario and covariant de Rham-Gabadadze-Tolley (dRGT) massive Gravity theory is proposed. In this setup, the five-dimensional bulk graviton is considered to be massive. The five dimensional nonlinear ghost-free massive gravity theory affects the 3-brane dynamics and the gravitational potential on the brane. Following the solutions with spherical s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008