riassunto2

AT6 - Applied Newton-Cartan Geometry

Speaker

Bellorin, Jorge

Coauthors

Restuccia, Alvaro; Sotomayor, Adrian

Talk Title

Some physics of the kinetic-conformal Horava theory

Abstract

The kinetic-conformal Horava theory has the interesting feature of being a power-counting renormalizable gravitational theory propagating the same number of degrees of freedom of General Relativity, unlike the generic formulation of the Horava theory that has an additional scalar mode. It can be found within the Newton-Cartan algebra by setting specific values of the constant parameters of the algebra. We discuss the consistency of its Hamiltonian formulation. It has second-class constraints whose origin can be traced back to anisotropic conformal transformations, although the theory is not conformal. We obtain the propagators of the physical modes and show that the superficial degree of divergence corresponds to a renormalizable theory. For the effective action valid at astrophysical scales we show that the dominant mode of the radiation of a weak isolated source coincides with Einstein's quadrupole formula (if some coupling constants are identified with the values of General Relativity). We discuss how the known observational constraints can be satisfied by the coupling constants of the effective theory.

Talk view

AT6-937BE590GE.pdf

 

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