HISTORICAL BACKGROUND
A list on more or less outdated books for general background
For the first part on classical black holes any book on
classical aspects of gravity will do. Useful, in parts, are:
- Wald, General Relativty, Chicago 1984
- MTW, Gravitation, Freeman Company, 70s
- Ellis and Hawking, The large scale structure of space-time,
Cambridge Press, 1973
Part I: Geometry of black holes
Singularity Theorems
Other than the three general references above a further early
elementary reference is
- R.Penrose, Techniques of differential topology in relativity,
regional conference series in applied mathematics, 1972
Uniqueness Theorems
An amusing, sort of minimal, set of the old papers working up to the
uniqueness theorem of the Kerr-Newman black hole in the Einstein-Maxwell
theory are the following
- W.Israel, Event Horizons in Static Vacuum Space Times,
Phys.Rev. 164(1967)1776
- F.Ernst, New Formulation of the Axially Symmetric Gravitational
Field Problem, Phys.Rev. 167(1968)166
- B.Carter, Axisymmetric Black Hole Has Only Two Degrees of Freedom,
Phys.Rev.Lett. 26(1971)331
- D.C. Robinson, Uniqueness of the Kerr Black Hole,
Phys.Rev.Lett. 34(1975)905
- P.O. Mazur, Proof of Uniqueness of the Kerr-Newman black hole,
J.Phys. A15(1982)3173
Part II: First physical considerations of black holes
- Black hole mechanics: Bardeen, Carter and Hawking, CMP (1972)
- Black hole thermodynamics: Bekenstein, Phys.Rev. D7(1973)
The rather upsetting early history of black hole mechanics has been
documented in some detail in
- Thorne, Black holes and time warps: Einstein's outrageous
legacy, Picador, 1994 (non-technical book)
- Bekenstein, Physics Today 1980
Part III: Hawking radiation and the factor 1/4
Books on semi-classical aspects of gravity:
- Wald, Quantum field theory in curved space-time and black
hole thermodynamics, Chicago Press, 1995
- Fulling, Aspects of quantum field theory in curved space-time,
Cambridge Press, 1989
- Birrell and Davies, Quantum fields on curved space,
Cambridge Press, 1982
ASPECTS OF CURRENT WORK
Part IV:
Macroscopic aspects of Calabi-Yau black hole entropy in type II low energy
effective field theory
(outline and references) .
Part V
Braney structure of string theory
Relevant papers for specifics:
- Single p-Brane solutions in general, and in type IIA,B effective field
theory in particular:
Horowitz and Strominger, Nucl.Phys. B360(1991)197
Duff, Khuri and Lu, String Solitons, Phys.Rept.
259(1995)213, hep-th/9412184
- Interacting p-branes, D-branes, BPS-behavior, bound states and supersymmetry
breaking:
Polchinski, Chaudhuri and Johnson, Notes on D-branes, hep-th/9602052
Polchinski, TASI lectures on D-branes, hep-th/9611050
Part VI
Braney computation of black hole entropy.
- Balasubramanian and Larsen, hep-th/9604189
contains a simple example computation of an entropy computation
for a 4D black hole.
- Behrnd and Mohaupt, hep-th/9611 and Maldacena, hep-th/9611
describe the brane interpretation of the entropy of axion free
Calabi-Yau black holes in M-theory/type II string theory.
A little more background can be found in the following few references:
- A very short intro to the problem:
E.Witten: The holes are defined by strings, Nature 383(1996)215
- Review:
G.Horowitz, The origin of black hole entropy in string theory,
gr-qc/960404051
- Simplest paper:
Horowitz and Strominger, Counting states near extremal black
holes,
hep-th/9602051
- First paper:
Strominger and Vafa, Microscopic Origin of the Bekenstein-Hawking
Entropy, Phys.Lett.,
hep-th/9601029
The references mentioned here comprise only part of those which were actually
used for the talks. Those in turn were only a tiny selection of the 400+, and
growing, number of recent papers on the brane/entropy interface which can be
obtained from the SLAC and Los Alamos archives
Spires
Los Alamos Archives
Please send suggestions to
Rolf Schimmrigk
(netah@th.physik.uni-bonn.de)
Back to the Black hole seminar page