Ortín T. Gravity and Strings

2nd Edition. — Cambridge University Press, UK, 2015. — 1042 p. — ISBN: 0521768136Self-contained and comprehensive, this definitive new edition of Gravity and Strings is a unique resource for graduate students and researchers in theoretical physics. From basic differential geometry through to the construction and study of black-hole and black-brane solutions in quantum gravity - via all the intermediate stages - this book provides a complete overview of the intersection of gravity, supergravity, and superstrings. Now fully revised, this second edition covers an extensive array of topics, including new material on non-linear electric-magnetic duality, the electric-tensor formalism, matter-coupled supergravity, supersymmetric solutions, the geometries of scalar manifolds appearing in 4- and 5-dimensional supergravities, and much more. Covering reviews of important solutions and numerous solution-generating techniques, and accompanied by an exhaustive index and bibliography, this is an exceptional reference work.Introduction to gravity and supergravity
Differential geometry
Symmetries and Noether’s theorems
A perturbative introduction to general relativity
Action principles for gravity
Pure N = 1,2,d = 4 supergravities
Matter-coupled N = 1,d = 4 supergravity
Matter-coupled N = 2,d = 4 supergravity
A generic description of all the N > 2,d = 4 SUEGRAs
Matter-coupled N = 1,d = 5 supergravity
Conserved charges in general relativity
Gravitating point-particles
The Schwarzschild black hole
The Reissner–Nordström black hole
The Taub–NUT solution
Gravitational pp-waves
The Kaluza–Klein black hole
Dilaton and dilaton/axion black holes
Unbroken supersymmetry I: supersymmetric vacua
Unbroken supersymmetry II: partially supersymmetric solutions
Supersymmetric black holes from supergravity
Gravitating extended objects of string theory
String theory
The string effective action and T duality
From eleven to four dimensions
Extended objects
The extended objects of string theory
String black holes in four and five dimensions
The FGK formalism for (single, static) black holes and branes
Appendixes
Lie groups, symmetric spaces, and Yang–Mills fields
The irreducible, non-symmetric Riemannian spaces of special holonomy
Miscellanea on the symplectic group
Gamma matrices and spinors
Kähler geometry
Special Kähler geometry
Quaternionic-Kähler geometry
Real special geometry
The generic scalar manifolds of N > 2,d = 4 SUEGRAs
Gauging isometries of non-linear σ-models
n-spheres
Palatini’s identity
Conformal rescalings
Connections and curvature components
The harmonic operator on R3 × S1