Gravity From Poincare Gauge Theory of the Fundamental Particles. 3. Weak Field Approximation
Jun, 198028 pages
Published in:
- Prog.Theor.Phys. 64 (1980) 1435,
- Prog.Theor.Phys. 66 (1981) 741 (erratum)
DOI:
Report number:
- Print-80-0422 (TOKYO U.,KOMABA)
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Abstract: (Oxford Journals)
We apply the weak field approximation to the most general gravitational field equations in Poincaré gauge theory. The weak gravitational field h_µν is a multimass field obeying a fourth-order field equation. In the Newtonian approximation we show that there are two routes to arrive at the Newtonian potential. The torsion field is decomposed into six irreducibe building blocks with spinparity, 2+, 2-, 1+, 1-, 0+ and 0-, each of which obeys the Klein-Gordon equation. Finally, we construct a possible candidate for the massless graviton field which obeys the linearized Einstein equation.- GRAVITATION
- INVARIANCE: LORENTZ
- GAUGE FIELD THEORY
- general relativity
- TENSOR: ENERGY-MOMENTUM
- TRANSFORMATION: GAUGE
- Einstein equation
- APPROXIMATION: WEAK FIELD
- FIELD EQUATIONS: SOLUTION
- Klein-Gordon equation
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