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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