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166
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TITLE
CERTIFICATE
DECLARATION
ACKNOWLEDGEMENT
CONTENTS
PREFACE
1. INTRODUCTION
1.1 The standard big-bang cosmology
1.2 Inflationary cosmology
1.2.1 Inflationary dynamics
1.2.2 Models of inflation
1.2.3 Inflation and Solution to Cosmological Problems
1. Flatness problem
2. Horizon problem
3. The origin of large-scale structure in the universe
4. Monopole problem
1.3 Brane World Cosmology
1.3.1 The Randall-Sundrum Brane World
1.3.2 Einsteins equations on the brave
1.3.3 Slow-roll inflation on the brane
1.3.4 Cosmological Perturbations
1.4 Outline of following chapters
References
2. BRANEWORLD INFLATION ON HYBRID TYPE POTENTIALS
2.1 Introduction
2.2 Hybrid Inflation Models
2.2.1 Inverted Hybrid Inflation
2.2.2 Mutated Hybrid Inflation
2.3 Studies of Inflation on RSII Braneworld
2.3.1 Inverted Hybrid
2.3.2 Mutated Hybrid Inflation
2.4 Conclusions
References
3. INFLATION ON GAUSS-BONNET BRANE WORLDS
3.1 Introduction
3.2 Inflation In Gauss-Bonnet (GB) Brane Worlds
3.3 Tachyonic Inflation
3.4 Study of Specific Inflation Models on GB Brane
3.4.1 Inverse Cosh Potential
3.4.2 Perturbation Spectra
3.4.3 Inverse Power Law Potential
3.5 Tachyonic Inflation on GB Brave Worlds
3.5.1 Inverse Power Law Potential
3.5.2 Tachyonic Inflation and Scale Factor in RS Brane world
3.5.3 Inverse Cosh Potential
3.6 Summary
References
4. INFLATIONARY SCENARIO ON BRANE UNIVERSE WITH INDUCED GRAVITY
4.1 Introduction
4.2 Gauss-Bonnet Braneworld
4.2.1 Action and Field Equations
4.3 Inflation on the Brane
4.4 Inflation on DGP model
4.4.1 Polynomial potential
4.4.2 Hybrid Potential
4.5 Conclusions
References
5. VARIABLE SPEED OF LIGHT THEORY AND COSMOLOGICAL PROBLEMS
5.1 Introduction
5.2 Variable Speed of Light Scenario
5.2.1 Field Equations
5.3 Cosmological Problems
5.3.1 Flatness Problem
5.3.2 The Horizon Problem
5.3.3 The cosmological constant problem
5.3.4 Quasi-flatness Problem
5.3.5 Quasi-lambda Problem
5.4 Energy Conservation and Solutions to Cosmological Problems
5.4.1 Flatness Problem
5.4.2 The Lambda Problem
5.5 Summary
References
6. SPHERICALLY SYMMETRIC SOLUTIONS TO A BIMETRIC THEORY OF GRAVITATION
6.1 Introduction
6.2 Bimetric Scenario
6.2.1 The Action and Field Equations
6.3 Spherically Symmetric Solution
6.4 Conclusions
References
7. INFLUENCE OF MATTER CREATION ON BRANE WORLD DYNAMICS
7. I Introduction
7.2 Matter creation Scenario
7.3 Theory of Open Thermodynamic Systems
7.4 DGP Model
7.5 Gauss-Bonnet brane
7.6 Effect on Brane World Models
7.6.1 Matter Creation on RS Model
7.6.2 Mater creation on GB Brane world
7.6.3 Matter Creation in warped DGP Model
7.7 Discussion
References