Abstract

We show that the solution corresponding to the gravitational field of a point particle at rest in 2 + 1 nonprojectable Horava is exactly the same as 2 + 1 general relativity with the same source. In general relativity this solution is well known, it is a flat cone whose deficit angle is proportional to the mass of the particle. To establish the system we couple the Horava theory to a point particle with relativistic action. Motivated by this solution, we postulate the condition of asymptotic flatness exactly in the same way of 2 + 1 general relativity. A remarkable feature of this condition is that the dominant mode is not fixed, but affected by the mass of the configuration. In this scheme, another important coincidence with 2 + 1 general relativity under asymptotic flatness is that the energy is the same (except for some coupling constants involved), the z = 1 term with the derivative of the lapse function does not contribute.