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# Induced Einstein-Hilbert-Yang-Mills action from quantum effects in generalized Kaluza-Klein theory

Blackett Laboratory, Imperial College, London SW7 2BZ, UK; David J. Toms; University of Wisconsin-Milwaukee, Physics Department, PO Box 413, Milwaukee, WI 53201, USA

Physics Letters B (Impact Factor: 4.57). 01/1984; DOI: 10.1016/0370-2693(84)90392-7 - [Show abstract] [Hide abstract]

**ABSTRACT:**The one-loop unique effective action by Vilkovisky in the d = 5 Einstein gravity and R2-gravity on the space M4×S1 is calculated, where M4 is the Minkowski space and S1 is a one-dimensional sphere. Also, the one-loop unique effective action for d-dimensional Einstein gravity on M4×Td−4 is calculated. The results of the calculation of the standard effective action are compared with those in the same theories.Nuclear Physics B 01/1988; · 4.33 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The self-consistency equations resulting from the Einstein equations for a space-time of the form R×S5×S3, with the vacuum-averaged energy-momentum tensor of a minimally coupled scalar field as the source, are solved using a one-loop finite-temperature calculation of this tensor. Solutions for low temperature are found to exist for large and small values of the radius ratio and also for the ratio close to 1/ &surd;2 . For the ratio equal to 1/ &surd;2 a zero-temperature solution is found. There is a maximum temperature for the ratio larger than this.Physical Review D 01/1992; 45:3678-3689. · 4.69 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The Einstein equations for a spacetime of the form R*S3*S3 are solved self-consistently using a minimally coupled massless scalar field as the source. The stress-energy tensor is calculated at finite temperature to one loop. There are solutions with equal radii for all temperatures, but, other than this, solutions with the radius ratio less than a certain value are not allowed due to the zero mode. For low temperatures, large values of the ratio are allowed, and values approximating those of the real Universe are found to satisfy the equations.Classical and Quantum Gravity 12/1998; 7(6):965. · 3.56 Impact Factor

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