Approximate black holes from a variable cosmological constant
Abstract
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
□lnΛ=−3a
, were
a
is a positive constant.