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Spontaneous Compactification With Quadratic and Cubic Curvature Terms

Jul, 1985
5 pages
Published in:
  • Phys.Lett.B 163 (1985) 106-110
  • Published: 1985
DOI:
Report number:
  • MPI-PAE-PTH-45-85
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Abstract: (Elsevier)
Certain curvature squared terms, which supplement the Einstein action in the low energy limit of string theories, allow for spontaneous compactification to R (1,3) × S n , n ⩾4. A cosmological constant in N = 4 + n dimensions is necessary. This is no longer the case if we add certain cubic curvature terms to the lagrangian. Solutions in N ⩾ 10 dimensions are obtained. The field equations considered contain at most second derivatives of the metric.
  • FIELD THEORY: HIGHER-DIMENSIONAL
  • FIELD THEORY: compactification
  • Einstein equation
  • Kaluza-Klein model
  • MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY
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