I= RELATIVISTIC GRAVITODYNAMIC AND FORCES
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Title of Thesis
RELATIVISTIC GRAVITODYNAMIC AND FORCES

Author(s)
Jawaid Qamar
Institute/University/Department Details
University of Qauid-i-Azam Islamabad
Session
1983
Subject
Physics
Number of Pages
134
Keywords (Extracted from title, table of contents and abstract of thesis)
relativistic gravitodynamic, newtonian ideas, gravitodynamics, gravitation theory, spacetime curvature, tidal force, charged-kerr geometry,

Abstract
This work attempts to understand relativistic gravitation physics in terms of Newtonian ideas and extends some Newtonian results. Chapter 1 reviews the essential structures of the Newtonian and relativistic gravitodynamics. It is demonstrated that a formalism based on a relativistic generalisation of the Newtonian concept of ‘force’ (the N-force) leads to a useful description of gravitational fields. Chapter 2 gives a review of the algorithmic theory available for tidal force computations. It is shown that standard algorithms are unsuitable for developing a physically relevant formulation of N-forces. Chapter-3 develops a convenient operational procedure to analyse that tidal force and define the N-force. Some calculations are given for the charged-kerr geometry and certain special cases of it. Some entirely new features are obtained and their implications discussed. Chapter-4 extends the study to a relativistic analogue of the charged-kerr geometry and the Einstein lagrangian is explicitly displayed in terms of scalar potential.

Chapter-5 summarises the results obtained and offers some suggestions for further research.

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1099.2 KB
S. No. Chapter Title of the Chapters Page Size (KB)
1 0 Contents
38.77 KB
2 1 Prologue 1
231.6 KB
  1.1 Search for viable Gravitation theory 2
  1.2 Reintatement of the Concept of force in Relativistic Gravitodynamics 8
  1.3 Fore Experienced by a freely falling observer 15
  1.4 Constraints Satisfied by N-Spacetimes 21
  1.5 Notation and Conventions 23
3 2 Tidal Force in Relativity 26
171 KB
  2.1 Spacetime Curvature as definer and Measurer of Total gravitational forces 28
  2.2 Computation of tidal effects due to the Field of a Gravitating source 31
  2.3 Application of boost in an arbitrary Direction 41
4 3 Pesudo-newtonian force 47
376.18 KB
  3.1 The Eigenvalue problem for tidal forces 48
  3.2 A generalization of the Classical Gravitational Force 56
  3.3 Corrections for reissner -Nordstrom and Schwarzschlid Geometries 70
  3.4 Applications to a charged- kerr metric 88
5 4 N-Potentials 93
170.98 KB
  4.1 Circular metrics 94
  4.2 A relativistic Analogue of the Newtonian Gravitational Potential 98
  4.3 Further aspects of a charged- kerr geometry 100
  4.4 Einstein-Hilbert Lagrangian Density as a Function Of a scalar potential 103
6 5 Epilogue 109
275.48 KB
  5.1 Recapitulation 109
  5.2 Discussion and Conclusion 112
  5.3 Appendices 118
  5.4 References 128