Index

Domain of Influence, Raychaudhuri Equation, Raychaudhuri Equation, Raychaudhuri Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation, Einstein Equation

R

Einstein Equation

Domain of Influence

Domain of Influence

Domain of Dependence

Domain of Dependence

Domain of Dependence

Domain of Dependence

Domain of Dependence

Raychaudhuri Equation

Raychaudhuri Equation

Raychaudhuri Equation

Raychaudhuri Equation

Null Curve

Null Curve

Null Curve

Null Curve

Energy Condition

Energy Condition

Singularity Theorems

Singularity Theorems

Singularity Theorems

Singularity Theorems

Application to Black

Application to Black

Application to Black

Application to Black

Application to Black

Application to Black

Application to Black

Physical Meaning of

The Two Lemmas

The Two Lemmas

De Sitter Universe

De Sitter Universe

De Sitter outside

Einstein Equation

Einstein Equation

Einstein Equation

Einstein Equation

Analogy in the

Analogy in the

Analogy in the

Analogy in the

Volume Expansion in

achronal slice

Slices, Domain of Dependence

ANEC

Physical Meaning of , The Two Lemmas, The Theorem

asymptotically flat

The Two Lemmas, The Two Lemmas, Generalization of the

averaged null energy condition

Physical Meaning of , The Two Lemmas, The Theorem

black hole

Application to Black , Primordial Black Holes

black hole evaporation

Constraint on Black

boundary

A Global Structure?, Singularity Theorems

Cauchy horizon

Domain of Dependence

Cauchy surface

Domain of Dependence, Singularity Theorems, Singularity Theorems, Singularity Theorems, Application to Black , The Two Lemmas, The Two Lemmas

causal curve

Physical Meaning of

causal future

Singularity Theorems

causal past

Application to Black

causal structure

Causal Structure, Physical Meaning of

causality violation

Domain of Influence, Null Curve, Energy Condition

causally simple

Singularity Theorems, Singularity Theorems

Christoffel symbol

Null Curve, Einstein Equation, Volume Expansion in

collapse

About Black Hole

conformal space

Application to Black

conformal transformation

Penrose Diagram

congruence

Raychaudhuri Equation

connected manifold

A Global Structure?

cosmology

Generalization of the

covering space

About the Proof

curvature

The Physical Significance

de Sitter spacetime

Generalization of the , The de Sitter

determinism

Domain of Dependence

domain of dependence

Domain of Dependence, De Sitter outside

domain of influence

Domain of Influence

early universe

About Black Hole

Einstein equation

Raychaudhuri Equation, Null Curve, Einstein Equation, Some Solution of

energy condition

Energy Condition, Physical Meaning of

energy-momentum tensor

Energy Condition, Einstein Equation

entropy production

Constraint on Black

evaporation

Constraint on Black

expansion tensor

Analogy in the

fluid dynamic

Raychaudhuri Equation, Analogy with Fluid

future Cauchy horizon

Domain of Dependence

future domain of dependence

Domain of Dependence, Domain of Dependence

future domain of influence

Domain of Influence

geodesics equation

Volume Expansion in

global structure

A Global Structure?

globally hyperbolic spacetime

Application to Black , Physical Meaning of

globally;tex2html_html_special_mark_quot; hyperbolic spacetime

Singularity Theorems

GR-Tensor

GR-Tensor

gravitationnal collapsing

About Black Hole

Hausdorff manifold

A Global Structure?

inflation

Generalization of the , Primordial Black Holes, About Black Hole

Jacobi equation

Raychaudhuri Equation

Jacobi field

Raychaudhuri Equation

Lorentz metric

A Global Structure?, About Singularity

manifold

Introduction, A Global Structure?

microwave background

About Black Hole, Constraint on Black

Minkowski spacetime

About Singularity, Minkowski Spacetime

outer trapped surface

Application to Black

paracompact manifold

A Global Structure?

past Cauchy horizon

Domain of Dependence

past domain of influence

Domain of Influence

Penrose diagram

Physical Meaning of , De Sitter Universe, De Sitter Universe, Penrose Diagram

Planck scale

Primordial Black Holes

precede

Domain of Influence, Domain of Dependence

primordial black hole

Primordial Black Holes

Raychaudhuri equation

Raychaudhuri Equation, Conjugate Points, Singularity Theorems, The Two Lemmas

Ricci curvature

Einstein Equation

Ricci tensor

Raychaudhuri Equation, Null Curve, Energy Condition, Singularity Theorems, Application to Black , Application to Black

Ricci;tex2html_html_special_mark_quot; tensor

Einstein Equation

Riemann tensor

Raychaudhuri Equation, Einstein Equation

Robertson & Walker spacetime

Robertson & Walker , Volume Expansion in

Schwarzschild spacetime

Null Curve, About Singularity, Schwarzschild Spacetime

shear tensor

Analogy in the

simply connected

The Two Lemmas, The Two Lemmas

singularity

About Singularity

singularity theorem

A Global Structure?, Raychaudhuri Equation, Trapped Surfaces, Singularity Theorems, About the Proof

slice

Slices, Domain of Dependence, Application to Black

spacetime

Introduction, Causal Structure of , Causal Structure, Null Curve

stably causal

Domain of Influence, Slices, Domain of Dependence, Physical Meaning of

strongly outer trapped surface

The Two Lemmas

time function

Domain of Influence, Slices, Domain of Dependence

Topological Censorship

Introduction, Trapped Surfaces, Singularity Theorems, Singularity Theorems, Application to Black , Topological Censorship, Generalization of the

topology

Introduction, Causal Structure of , Slices, About the Proof , Primordial Black Holes

trapped surface

Singularity Theorems, Singularity Theorems, Application to Black , Application to Black

volume expansion

Raychaudhuri Equation, Null Curve, Null Curve, Singularity Theorems, The Two Lemmas, Analogy in the

vorticity tensor

Raychaudhuri Equation, Analogy in the