• Corpus ID: 116912766

A Shape Dynamics Tutorial

  title={A Shape Dynamics Tutorial},
  author={Flavio Mercati},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • F. Mercati
  • Published 30 August 2014
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
Shape Dynamics (SD) is a new theory of gravity that is based on fewer and more fundamental first principles than General Relativity (GR). The most important feature of SD is the replacement of GR's relativity of simultaneity with a more tractable gauge symmetry, namely invariance under spatial conformal transformations. This Tutorial contains both a quick introduction for readers curious about SD and a detailed walk-through of the historical and conceptual motivations for the theory, its… 
Comparing General Relativity with Shape Dynamics
The aim of this thesis is to compare the strengths and weaknesses of the theories shape dynamics and general relativity using two well-known situations involving spherically symmetric gravitational
A Tour Through Shape Dynamic Black Holes
Shape dynamics is a classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime
The shape dynamics description of gravity
Classical gravity can be described as a relational dynamical system without ever appealing to space–time or its geometry. This description is the so-called shape dynamics description of gravity. The
'Shape Dynamics': Foundations Reassessed
`Shape dynamics' is meant here in the sense of a type of conformogeometrical reformulation of GR, some of which have of late been considered as generalizations of or alternatives to GR. This note
On the fate of Birkhoff’s theorem in Shape Dynamics
Spherically symmetric, asymptotically flat solutions of Shape Dynamics were previously studied assuming standard falloff conditions for the metric and the momenta. These ensure that the spacetime is
Cosmological self-gravitating fluid solutions of shape dynamics
Shape dynamics is a 3D conformally invariant theory of gravity that possesses a large set of solutions in common with general relativity. When looked at closely, these solutions are found to behave
Toward black hole entropy in shape dynamics
Shape dynamics is a classical theory of gravity which agrees with general relativity in many important cases, but possesses different gauge symmetries and constraints. Rather than spacetime
Shape Dynamical Loop Gravity from a Conformal Immirzi Parameter
The Immirzi parameter of loop quantum gravity is a one parameter ambiguity of the theory whose precise interpretation is not universally agreed upon. It is an inherent characteristic of the quantum
An Introduction To Shape Dynamics
In this paper we provide a review of Shape Dynamics, a new theory of gravity which overlaps with General Relativity in places but is built from fewer and more fundamental principles. Shape Dynamics
Quantum Shape Kinematics
Shape dynamics is a theory first proposed by Julian Barbour which states that physics happen uniquely in the reduced configuration space of a theory. So far, studies in the area have focused on


A Birkhoff theorem for Shape Dynamics
Shape dynamics is a theory of gravity that replaces refoliation invariance for spatial Weyl invariance. Those solutions of the Einstein equations that have global, constant mean curvature slicings,
Shape Dynamics and Effective Field Theory
Shape dynamics is a gauge theory based on spatial diffeomorphism- and Weyl-invariance which is locally indistinguishable from classical general relativity. If taken seriously, it suggests that the
Shape dynamics in 2 + 1 dimensions
Shape Dynamics is a formulation of General Relativity where refoliation invariance is traded for local spatial conformal invariance. In this paper we explicitly construct Shape Dynamics for a torus
A rotating black hole solution for shape dynamics
Shape dynamics is a classical theory of gravity which agrees with general relativity in many important aspects, but which possesses different gauge symmetries and can present some fundamental global
Poincare invariance and asymptotic flatness in Shape Dynamics
Shape Dynamics is a theory of gravity that waives refoliation invariance in favor of spatial Weyl invariance. It is a canonical theory, constructed from a Hamiltonian, 3+1 perspective. One of the
Conformal geometrodynamics regained: Gravity from duality
Relativity without relativity
We give a derivation of general relativity (GR) and the gauge principle that is novel in presupposing neither spacetime nor the relativity principle. We consider a class of actions defined on
Scale-invariant gravity: geometrodynamics
We present a scale-invariant theory, conformal gravity, which closely resembles the geometrodynamical formulation of general relativity (GR). While previous attempts to create scale-invariant
The link between general relativity and shape dynamics
We define the concept of a linking theory and show how two equivalent gauge theories possessing different gauge symmetries generically arise from a linking theory. We show that under special
The physical gravitational degrees of freedom
When constructing general relativity (GR), Einstein required 4D general covariance. In contrast, we derive GR (in the compact, without boundary case) as a theory of evolving three-dimensional