Probing entropy bounds with scalar field spacetimes
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 SL(B,B')⩽[A(B)-A(B')]/4 is violated for light sheets L(B,B') in the neighborhood of the (evolving) apparent horizon. We find no violations of the Bousso bound [for which A(B')=0], even though certain sufficient conditions for this bound do not hold. This result therefore shows that these conditions are not necessary.
- Publication:
-
Physical Review D
- Pub Date:
- April 2004
- DOI:
- 10.1103/PhysRevD.69.084002
- arXiv:
- arXiv:gr-qc/0307070
- Bibcode:
- 2004PhRvD..69h4002H
- Keywords:
-
- 04.70.Dy;
- Quantum aspects of black holes evaporation thermodynamics;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 10 pages, 5 figures