New Views on Dark Matter from Emergent Gravity

Sichun Sun,Yun-Long Zhang,B Gwak,W Lee,C.-H Lee,G Kang,C Kim,J Lee,S Lee,H.-C Kim

doi:10.1051/epjconf/201816806006

Abstract

We discuss a scenario that apparent dark matter comes from the induced gravity in the (3+1)- dimensional spacetime, which can be embedded into one higher dimensional flat spacetime. The stress tensor of dark energy and dark matter is identified with the Brown-York stress tensor on the hypersurface, and we find an interesting constraint relation between the dark matter and dark energy density parameter and baryonic density parameter. Our approach may show a new understanding for Verlinde’s emergent gravity from higher dimensions. We also comment on some phenomenological implications, including gravitational wave solutions and MOND limit.

Highlights

We discuss a scenario that apparent dark matter comes from the induced gravity in the (3+1)dimensional spacetime, which can be embedded into one higher dimensional flat spacetime
Inspired by the emergent gravity models proposed by Verlinde in [1, 2], we propose the induced gravity from higher dimensional spacetime which gives rise to the similar mechanism
We can put the extra terms on the right hand side, which adds the extra contribution to the stress tensor

Summary

Introduction

We discuss a scenario that apparent dark matter comes from the induced gravity in the (3+1)dimensional spacetime, which can be embedded into one higher dimensional flat spacetime. We will modify the Einstein field equation in 3+1 dimensional spacetime at the cosmological scale, Rμν It is just the Brown-York stress tensor induced from higher dimensional space time, and we explain it as the apparent dark sectors.

Results

Conclusion