Vector theory of gravity: Universe without black holes and solution of dark energy problem

Understand

We propose an alternative theory of gravity which assumes that background geometry of the Universe is fixed four dimensional Euclidean space and gravity is a vector field $A_k$ in this space which breaks the Euclidean symmetry.

• Direction of $A_k$ gives the time coordinate, while perpendicular directions are spatial coordinates.
• Vector gravitational field is coupled to matter universally and minimally through the equivalent metric $f_{ik}$ which is a functional of $A_k$.
• We show that such assumptions yield a unique theory of gravity, it is free of black holes and, to the best of our knowledge, passes all available tests.