A re-examination of the Carter solutions of Einstein's field equations
- Authors: Kun, A Ah
- Date: 1979
- Subjects: Einstein field equations Space and time General relativity (Physics)
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: vital:5442 , http://hdl.handle.net/10962/d1001995
- Description: The study of geodesics in space-time is essential to a comprehensive understanding of the physics of the field. Global properties, e.g. the singularity structure and completeness of space-time, can be related to the geodesic properties, thus it is through the solutions of the geodesic equation of motion that many of the global properties of space-time can be obtained in an easily interpretable form. However, it is usually very difficult to integrate the geodesic equations for the particle motion in the presence of a gravitational field (Introduction, p. 1)
- Full Text:
- Date Issued: 1979
- Authors: Kun, A Ah
- Date: 1979
- Subjects: Einstein field equations Space and time General relativity (Physics)
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: vital:5442 , http://hdl.handle.net/10962/d1001995
- Description: The study of geodesics in space-time is essential to a comprehensive understanding of the physics of the field. Global properties, e.g. the singularity structure and completeness of space-time, can be related to the geodesic properties, thus it is through the solutions of the geodesic equation of motion that many of the global properties of space-time can be obtained in an easily interpretable form. However, it is usually very difficult to integrate the geodesic equations for the particle motion in the presence of a gravitational field (Introduction, p. 1)
- Full Text:
- Date Issued: 1979
Twistors in curved space
- Ward, R S (Richard Samuel), 1951-
- Authors: Ward, R S (Richard Samuel), 1951-
- Date: 1975
- Subjects: Twistor theory , Space and time
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: vital:5429 , http://hdl.handle.net/10962/d1013472
- Description: From the Introduction, p. 1. During the past decade, the theory of twistors has been introduced and developed, primarily by Professor Roger Penrose, as part of a long-term program aimed at resolving certain difficulties in present-day physical theory. These difficulties include, firstly, the problem of combining quantum mechanics and general relativity, and, secondly, the question of whether the concept of a continuum is at all relevant to physics. Most models of space-time used in general relativity employ the idea of a manifold consisting of a continuum of points. This feature of the models has often been criticised, on the grounds that physical observations are essentially discrete in nature; for reasons that are mathematical, rather than physical, the gaps between these observations are filled in a continuous fashion (see, for example, Schrodinger (I), pp.26-31). Although analysis (in its generally accepted form) demands that quantities should take on a continuous range of values, physics, as such,does not make such a demand. The situation in quantum mechanics is not all that much better since, although some quantities such as angular momentum can only take on certain discrete values, one still has to deal with the complex continuum of probability amplitudes. From this point of view it would be desirable to have all physical laws expressed in terms of combinatorial mathematics, rather than in terms of (standard) analysis.
- Full Text:
- Date Issued: 1975
- Authors: Ward, R S (Richard Samuel), 1951-
- Date: 1975
- Subjects: Twistor theory , Space and time
- Language: English
- Type: Thesis , Masters , MSc
- Identifier: vital:5429 , http://hdl.handle.net/10962/d1013472
- Description: From the Introduction, p. 1. During the past decade, the theory of twistors has been introduced and developed, primarily by Professor Roger Penrose, as part of a long-term program aimed at resolving certain difficulties in present-day physical theory. These difficulties include, firstly, the problem of combining quantum mechanics and general relativity, and, secondly, the question of whether the concept of a continuum is at all relevant to physics. Most models of space-time used in general relativity employ the idea of a manifold consisting of a continuum of points. This feature of the models has often been criticised, on the grounds that physical observations are essentially discrete in nature; for reasons that are mathematical, rather than physical, the gaps between these observations are filled in a continuous fashion (see, for example, Schrodinger (I), pp.26-31). Although analysis (in its generally accepted form) demands that quantities should take on a continuous range of values, physics, as such,does not make such a demand. The situation in quantum mechanics is not all that much better since, although some quantities such as angular momentum can only take on certain discrete values, one still has to deal with the complex continuum of probability amplitudes. From this point of view it would be desirable to have all physical laws expressed in terms of combinatorial mathematics, rather than in terms of (standard) analysis.
- Full Text:
- Date Issued: 1975
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