13-18 December 2015
International Conference Centre Geneva
Europe/Zurich timezone

A Palatini formalism for MOND in $f(\chi)$ gravity

15 Dec 2015, 18:22
3m
Level 2, Room 14 (International Conference Centre Geneva)

Level 2, Room 14

International Conference Centre Geneva

Speaker

Ernesto Barrientos Rodríguez (Universidad Nacional Autónoma de México)

Description

In this work we construct a relativistic extension of the MODified Newtonian Dynamics (MOND) in the metric formalism $f(\chi)$ using the Palatini approach. We show that a simple power law: $f(\chi)=\chi^b$, with $b = 3/2$ corresponds to the non-relativistic form of MOND. Amongst the many approaches proposed to extend MOND to a relativistic regime, the Palatini metric formalism discussed here, yields second order field equations, which is a desirable (but not a necessary) requirement in a gravitational theory. We briefly discuss lensing applications of this proposal.

Primary author

Ernesto Barrientos Rodríguez (Universidad Nacional Autónoma de México)

Presentation Materials