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Supervisor's Foreword; Preface; Preface; Acknowledgements; Contents; Notations and Conventions; Part I Introduction and Motivation; 1 It Is All About Gravity; 1.1 Approach to Classical Gravity and Quantum Field Theory; 1.1.1 Classical Gravity and Its Limitations; 1.1.2 Quantum Field Theory and Its Issues; 1.1.3 Gravity Is Peculiar; 1.1.4 Gravity and Quantum Theory: Chaos Out of Order; 1.2 Quantum Matter in Classical Gravity; 1.2.1 Quantum Fields in Curved Spacetime
What Can We Learn About Quantum Gravity?; 1.2.2 Tussle of Titans: Black Hole Evaporation Versus Loss of Information
1.3 The Final Frontier: A Quantum Theory of Gravity1.3.1 The Need to Quantize Gravity; 1.3.2 Approaches to Quantize Gravity; 1.3.3 Gravity May Not Be a Fundamental Interaction; 1.3.4 Trademark of Quantum Gravity
Existence of Zero Point Length; References; Part II Geometrical Aspects of Gravitational Action; 2 Setting the Stage: Review of Previous Results; 2.1 Introduction; 2.2 A Fresh Look at the Einstein-Hilbert Action; 2.2.1 On the Structure of the Einstein-Hilbert Action; 2.2.2 In Search of Alternative Variables in General Relativity
2.2.3 Einstein-Hilbert Action in Terms of the New Variables2.2.4 Noether Current; 2.2.5 Gravitational Momentum; 2.3 Lanczos-Lovelock Gravity: A Brief Introduction; 2.3.1 How Does Lanczos-Lovelock Gravity Comes About?; 2.3.2 Noether Current and Entropy for Lanczos-Lovelock Gravity; 2.4 Construction of Gaussian Null Coordinates; 2.5 Looking to the Future; References; 3 Alternative Geometrical Variables in Lanczos-Lovelock Gravity; 3.1 Introduction; 3.2 Possible Generalization of Conjugate Variables to Lanczos-Lovelock Gravity; 3.3 Describing Gravity in Terms of Conjugate Variables
3.3.1 Einstein-Hilbert Action with the New Set of Variables3.3.2 Generalization to Lanczos-Lovelock Gravity; 3.4 Concluding Remarks; References; Part III Thermodynamics, Gravity and Null Surfaces; 4 Thermodynamic Interpretation of Geometrical Variables; 4.1 Introduction; 4.2 Thermodynamics Related to Lanczos-Lovelock Action; 4.2.1 A General Static Spacetime; 4.2.2 Generalization to Arbitrary Null Surface; 4.3 Concluding Remarks; References; 5 Spacetime Evolution and Equipartition in Lanczos-Lovelock Gravity; 5.1 Introduction; 5.2 Warm Up: Some Illustrative Examples in General Relativity
5.3 Generalization to Lanczos-Lovelock Gravity5.3.1 Heat Content of Spacetime in Lanczos-Lovelock Gravity; 5.3.2 Evolution Equation of Spacetime in Lanczos-Lovelock Gravity; 5.4 Discussion; References; 6 Lanczos-Lovelock Gravity from a Thermodynamic Perspective; 6.1 Introduction; 6.2 Thermodynamic Identity from Gravitational Field Equations; 6.3 Applications; 6.3.1 Stationary Spacetime; 6.3.2 Spherically Symmetric Spacetime; 6.4 Thermodynamic Interpretations in Lanczos-LovelockGravity; 6.4.1 Bulk Gravitational Dynamics and Its Relation to Surface Thermodynamics in Lanczos-LovelockGravity
What Can We Learn About Quantum Gravity?; 1.2.2 Tussle of Titans: Black Hole Evaporation Versus Loss of Information
1.3 The Final Frontier: A Quantum Theory of Gravity1.3.1 The Need to Quantize Gravity; 1.3.2 Approaches to Quantize Gravity; 1.3.3 Gravity May Not Be a Fundamental Interaction; 1.3.4 Trademark of Quantum Gravity
Existence of Zero Point Length; References; Part II Geometrical Aspects of Gravitational Action; 2 Setting the Stage: Review of Previous Results; 2.1 Introduction; 2.2 A Fresh Look at the Einstein-Hilbert Action; 2.2.1 On the Structure of the Einstein-Hilbert Action; 2.2.2 In Search of Alternative Variables in General Relativity
2.2.3 Einstein-Hilbert Action in Terms of the New Variables2.2.4 Noether Current; 2.2.5 Gravitational Momentum; 2.3 Lanczos-Lovelock Gravity: A Brief Introduction; 2.3.1 How Does Lanczos-Lovelock Gravity Comes About?; 2.3.2 Noether Current and Entropy for Lanczos-Lovelock Gravity; 2.4 Construction of Gaussian Null Coordinates; 2.5 Looking to the Future; References; 3 Alternative Geometrical Variables in Lanczos-Lovelock Gravity; 3.1 Introduction; 3.2 Possible Generalization of Conjugate Variables to Lanczos-Lovelock Gravity; 3.3 Describing Gravity in Terms of Conjugate Variables
3.3.1 Einstein-Hilbert Action with the New Set of Variables3.3.2 Generalization to Lanczos-Lovelock Gravity; 3.4 Concluding Remarks; References; Part III Thermodynamics, Gravity and Null Surfaces; 4 Thermodynamic Interpretation of Geometrical Variables; 4.1 Introduction; 4.2 Thermodynamics Related to Lanczos-Lovelock Action; 4.2.1 A General Static Spacetime; 4.2.2 Generalization to Arbitrary Null Surface; 4.3 Concluding Remarks; References; 5 Spacetime Evolution and Equipartition in Lanczos-Lovelock Gravity; 5.1 Introduction; 5.2 Warm Up: Some Illustrative Examples in General Relativity
5.3 Generalization to Lanczos-Lovelock Gravity5.3.1 Heat Content of Spacetime in Lanczos-Lovelock Gravity; 5.3.2 Evolution Equation of Spacetime in Lanczos-Lovelock Gravity; 5.4 Discussion; References; 6 Lanczos-Lovelock Gravity from a Thermodynamic Perspective; 6.1 Introduction; 6.2 Thermodynamic Identity from Gravitational Field Equations; 6.3 Applications; 6.3.1 Stationary Spacetime; 6.3.2 Spherically Symmetric Spacetime; 6.4 Thermodynamic Interpretations in Lanczos-LovelockGravity; 6.4.1 Bulk Gravitational Dynamics and Its Relation to Surface Thermodynamics in Lanczos-LovelockGravity