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From conformal infinity to equations of motion: conserved quantities in general relativity
1Mathematical Institute, Oxford, Oxfordshire OX2 6GG, UK.
Summary
This study explores conservation laws in general relativity using 2-spinor methods and conformal infinity. It re-examines Newman
Area of Science:
- General Relativity
- Mathematical Physics
Background:
- Conservation laws in General Relativity (GR) have a history dating back to the 1960s.
- Previous work includes mass-energy conservation by Bondi and Sachs.
Purpose of the Study:
- To describe conservation laws in GR using 2-spinor techniques.
- To discuss E. T. Newman's ideas in relation to twistor theory.
- To re-evaluate the NP constants and their connection to GR equations of motion.
Main Methods:
- Application of 2-spinor techniques.
- Employment of the notion of conformal infinity.
- Discussion of twistor theory and NP constants.
Main Results:
- Novel application of 2-spinor methods to GR conservation laws.
- New perspective on the meaning of NP constants in relation to equations of motion.
- Integration of Newman's ideas with twistor theory.
Conclusions:
- The study provides a modern perspective on established conservation laws in GR.
- It highlights the utility of 2-spinor techniques and conformal infinity.
- It offers a new interpretation of NP constants relevant to GR's fundamental problems.
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