Authors: Tate Thomas
Mentors: Alexander M Panin
Insitution: Utah Valley University
We mathematically derived equations describing the gravitational field in a symmetric cavity located asymmetrically inside 1-D, 2-D, 3-D spheres for a gravitation which itself may have 1, 2 or 3 degrees of freedom (thus may diminish with distance not necessarily as inverse square). We found that if the number of dimensions and the number of degrees of freedom of gravitation match, then the gravitational field inside the cavity must be constant and uniform throughout all space inside the cavity. Discussing the details of our calculations for matching and non-matching cases, along with their implications, is the goal of this presentation.