Approximate black holes from a variable cosmological constant
Abstract
Description
The small or zero cosmological constant, $Λ$, probably results from a macroscopic cancellation mechanism of the zero-point energies. However, nearby horizon surfaces any macroscopic mechanism is expected to result in imperfect cancellations. A phenomenological description is given for the residual variable cosmological constant. In the static, spherically symmetric case it produces approximate black holes. The model describes the case of exponential decay by $\Box\lnΛ=-3a$, were $a$ is a positive constant.
3 pages,latex,2 figures; corrected typos and existence proof
3 pages,latex,2 figures; corrected typos and existence proof