Fetching the paper…
Reading the bibliography…
We define the local acceleration and jerk of a relativistic brane in an ambient spacetime, and construct from them a dimensionless parameter lambda that must be small for an interpretation of brane acceleration as local Unruh temperature.
C. Fronsdal, “Completion and Embedding of the Schwarzschild Solution,” Phys. Rev. 116
1959
Earlier work this paper cites.
A. Friedman, “Local isometric embedding of Riemannian manifolds with indefinite metric”, J. Math. Mech. 10, 625 (1961)
1961
Earlier work this paper cites.
R. Figari, R. Hoegh-Krohn and C. R. Nappi, “Interacting Relativistic Boson Fields In The De Sitter Universe With Two Space-Time Dimensions,” Commun. Math. Phys. 44
1975
Earlier work this paper cites.
S. W. Hawking, “Particle Creation By Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
W. G. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14
1976
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, And Particle Creation,” Phys. Rev. D 15
1977
Earlier work this paper cites.
J. S. Bell and J. M. Leinaas, “The Unruh effect and quantum fluctuations of electrons in storage rings”, Nucl. Phys. B 284
1987
Earlier work this paper cites.
J. D. Brown, E. A. Martinez and J. W. . York, “Complex Kerr-Newman geometry and black hole thermodynamics,” Phys. Rev. Lett. 66
1991
Cited alongside, same era.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
1992
Cited alongside, same era.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, “Geometry of the (2+1) black hole,” Phys. Rev. D 48
1993
Cited alongside, same era.
S. Carlip, “The (2+1)-Dimensional black hole,” Class. Quant. Grav. 12
1995
Cited alongside, same era.
H. Narnhofer, I. Peter and W. E. Thirring, “How hot is the de Sitter space?,” Int. J. Mod. Phys. B 10
1996
Cited alongside, same era.
F. Dowker, J. P. Gauntlett, G. W. Gibbons and G. T. Horowitz, “Nucleation of P P -Branes and Fundamental Strings,” Phys. Rev. D 53
S. Deser and O. Levin, “Equivalence of Hawking and Unruh temperatures through flat space embeddings,” Class. Quant. Grav. 15
1998
Later among the works it cites.
S. Deser and O. Levin, “Mapping Hawking into Unruh thermal properties,” Phys. Rev. D 59
1999
Later among the works it cites.
S. T. Hong, Y. W. Kim and Y. J. Park, “Higher dimensional flat embeddings of (2+1) dimensional black holes,” Phys. Rev. D 62
2000
Later among the works it cites.
J. Bros, H. Epstein and U. Moschella, “Towards a general theory of quantized fields on the anti-de Sitter space-time,” Commun. Math. Phys. 231
2002
Later among the works it cites.
H. Z. Chen, Y. Tian, Y. H. Gao and X. C. Song, “The GEMS Approach to Stationary Motions in the Spherically Symmetric Spacetimes,” JHEP 0410
2004
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1996
Cited alongside, same era.
S. Deser and O. Levin, “Accelerated detectors and temperature in (anti) de Sitter spaces,” Class. Quant. Grav. 14
1997
Cited alongside, same era.
Cited in the paper.
H. Z. Chen and Y. Tian, “A note on the GEMS of charged black holes,” arXiv:gr-qc/0410077
Cited in the paper.
Cited in the paper.
D. Jennings, “The brane universe as an Unruh observer,” arXiv:hep-th/0508215
Cited in the paper.
Cited in the paper.
N. L. Santos, O. J. C. Dias and J. P. S. Lemos, “Global embedding of D-dimensional black holes with a cosmological constant in Minkowskian spacetimes: Matching between Hawking temperature and Unruh temperature,” Phys. Rev. D 70
2004
Later among the works it cites.
Y. Tian, “De Sitter Thermodynamics from Diamonds’s Temperature,” JHEP 0506
2005
Later among the works it cites.