TY - JOUR
T1 - Closed universes can satisfy the holographic principle in three dimensions
AU - Cruz, Norman
AU - Lepe, Samuel
N1 - Funding Information:
The authors acknowledge the referee for useful suggestions in order to improve the presentation of the results of this Letter. This work was supported by USACH-DICYT under Grant No 04-0031CM (N.C.) and by CONICYT through Grant No 2990037 (S.L.).
PY - 2001/11/29
Y1 - 2001/11/29
N2 - We examine in details Friedmann-Robertson-Walker models in 2 + 1 dimensions in order to investigate the cosmic holographic principle suggested by Fischler and Susskind. Our results are rigorously derived differing from the previous one found by Wang and Abdalla. We discuss the erroneous assumptions done in this work. The matter content of the models is composed of a perfect fluid, with a γ-law equation of state. We found that closed universes satisfy the holographic principle only for exotic matter with a negative pressure. We also analyze the case of a collapsing flat universe.
AB - We examine in details Friedmann-Robertson-Walker models in 2 + 1 dimensions in order to investigate the cosmic holographic principle suggested by Fischler and Susskind. Our results are rigorously derived differing from the previous one found by Wang and Abdalla. We discuss the erroneous assumptions done in this work. The matter content of the models is composed of a perfect fluid, with a γ-law equation of state. We found that closed universes satisfy the holographic principle only for exotic matter with a negative pressure. We also analyze the case of a collapsing flat universe.
UR - http://www.scopus.com/inward/record.url?scp=0035969376&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(01)01234-5
DO - 10.1016/S0370-2693(01)01234-5
M3 - Article
AN - SCOPUS:0035969376
SN - 0370-2693
VL - 521
SP - 343
EP - 349
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -