A symmetry for vanishing cosmological constant: Another realization

Abstract

A more conventional realization of a symmetry which had been proposed towards the solution of cosmological constant problem is considered. In this study the multiplication of the coordinates by the imaginary number $i$ in the literature is replaced by the multiplication of the metric tensor by minus one. This realization of the symmetry as well forbids a bulk cosmological constant and selects out $2(2n+1)$ dimensional spaces. On contrary to its previous realization the symmetry, without any need for its extension, also forbids a possible cosmological constant term which may arise from the extra dimensional curvature scalar provided that the space is taken as the union of two $2(2n+1)$ dimensional spaces where the usual 4-dimensional space lies at the intersection of these spaces. It is shown that this symmetry may be realized through spacetime reflections that change the sign of the volume element. A possible relation of this symmetry to the E-parity symmetry of Linde is also pointed out.

The version to appear in PLB. The terms "non-orientable space" and "extra-dimensional tranlation" are replaced by "space whose volume element changes sign under extra dimensional reflections" and "extra dimensional reflections", respectively; and typos are corrected

References in corpus (3)

• Invariance under complex transformations, and its relevance to the cosmological constant problem
• Signature reversal invariance
• Metric and coupling reversal in string theory

Cited by in corpus (6)

• Signature reversal invariance
• Transition to Zero Cosmological Constant and Phantom Dark Energy as Solutions Involving Change of Orientation of Space-Time Manifold
• Symmetries and the cosmological constant puzzle
• Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations
• A way to get rid of cosmological constant and zero point energy problems of quantum fields through metric reversal symmetry
• A symmetry for vanishing cosmological constant