English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We construct a relativistic metric description of MOND using the Palatiniformalism following the $ f(\chi)=\chi^b $ description of\citet{mendozatula}. We show that in order to recover the non-relativistic MONDregime where, for circular orbits the Tully-Fisher law replaces Kepler's thirdlaw, the value of the parameter $ b = 3/2 $, which is coincident with the valuefound using a pure metric formalism Capozziello et al. (2011). Unlike the puremetric formalism, which yields 4th order field equations, the Palatini approachyields second order field equations, which is a desirable requirement from atheoretical perspective. Thus, the phenomenology associated to astrophysicalphenomena with Tully-Fisher scalings can be accounted for using this proposal,without the need to introduce any non-baryonic dark matter particles.

A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity