Abstract
We study covariant entropy bounds in dynamical spacetimes with naked singularities. Specifically we study a spherically symmetric massless scalar field solution. The solution is an inhomogeneous cosmology with an initial spacelike singularity, and a naked timelike singularity at the origin. We construct the entropy flux 4-vector for the scalar field, and show by explicit computation that the generalized covariant bound is violated for light sheets in the neighborhood of the (evolving) apparent horizon. We find no violations of the Bousso bound [for which even though certain sufficient conditions for this bound do not hold. This result therefore shows that these conditions are not necessary.
- Received 23 July 2003
DOI:https://doi.org/10.1103/PhysRevD.69.084002
©2004 American Physical Society