Galaxy rotation curves from a fourth order gravity

7th International Conference on Gravitation and Cosmology

Mishra, P.^1 ; Singh, T.P.^1

Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Mumbai 400005, India^1

关键词: Fourth order;    General Relativity;    Newtonian dynamics;    Newtonian gravitation;    Newtonian gravity;    Rotation curves;    Specific values;    Two parameter;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/484/1/012020/pdf
DOI  :  10.1088/1742-6596/484/1/012020

来源: IOP

【 摘 要 】

While the standard and most popular explanation for the flatness of galaxy rotation curves is dark matter, one cannot at this stage rule out an explanation based on a modified law of gravitation, which agrees with Newtonian gravitation on the scale of the Solar system, but differs from it on larger length scales. Examples include Modfied Newtonian Dynamics (MOND) and Scalar-Tensor-Vector Gravity (STVG). Here, we have reported on a fourth order modification of the Poisson equation, which yields the same Yukawa type modification of Newtonian gravity as STVG, and which can explain flat galaxy rotation curves for a large sample of galaxies, once specific values for two parameters have been chosen. We have speculated on two possible origins for this modified Poisson equation: First, a possible fourth order modification of general relativity, and second, quadrupole gravitational polarization induced on a galaxy because of the pull of neighbouring galaxies.