The Formation of Black Holes in General Relativity

  • Demetrios Christodoulou

    ETH Zürich, Switzerland
The Formation of Black Holes in General Relativity cover
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FrontmatterDownload pp. i–v
ContentsDownload pp. vii–ix
PrologueDownload pp. 1–28
1The Optical Structure Equationspp. 29–62
2The Characteristic Initial Datapp. 63–89
3LL^\infty Estimates for the Connection Coefficientspp. 91–113
4L4(S)L^4(S) Estimates for the 1st Derivatives of the Connection Coefficientspp. 115–146
5The Uniformization Theorempp. 147–179
6L4(S)L^4(S) Estimates for the 2nd Derivatives of the Connection Coefficientspp. 181–214
7L2L^2 Estimates for the 3rd Derivatives of the Connection Coefficientspp. 215–274
8The Multiplier Fields and the Commutation Fieldspp. 275–297
9Estimates for the Derivatives of the Deformation Tensors of the Commutation Fieldspp. 299–324
10The Sobolev Inequalities on the CuC_u and the Cu\underline{C}_{\underline{u}}pp. 325–342
11The SS-tangential Derivatives and the Rotational Lie Derivativespp. 343–363
12Weyl Fields and Currents. The Existence Theorempp. 365–421
13The Multiplier Error Estimatespp. 423–440
14The 1st-Order Weyl Current Error Estimatespp. 441–480
15The 2nd-Order Weyl Current Error Estimatespp. 481–516
16The Energy-Flux Estimates. Completion of the Continuity Argumentpp. 517–571
17Trapped Surface Formationpp. 573–581
Bibliographypp. 583–586
Indexpp. 587–589

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