Matter without matter: Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity
- Graduate School of Science and Engineering, Waseda University, Tokyo 169-8555 (Japan)
- Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Pune 411 007 (India)
We consider Einstein-Gauss-Bonnet gravity in n({>=}6)-dimensional Kaluza-Klein spacetime M{sup 4}xK{sup n-4}, where K{sup n-4} is the Einstein space with negative curvature. In the case where K{sup n-4} is the space of negative constant curvature, we have recently obtained a new static black-hole solution [Phys. Rev. D 74, 021501(R) (2006)] which is a pure gravitational creation including Maxwell field in four-dimensional vacuum spacetime. The solution has been generalized to make it radially radiate null radiation representing gravitational creation of charged null dust. The same class of solutions though exists in spacetime M{sup d}xK{sup n-d} for d=3,4, however the gravitational creation of the Maxwell field is achieved only for d=4. Also, the Gauss-Bonnet effect could be brought down to M{sup d} only for d=4. Further some new exact solutions are obtained including its analogue in Taub-NUT spacetime on M{sup 4} for d=4.
- OSTI ID:
- 21011072
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 4; Other Information: DOI: 10.1103/PhysRevD.75.044007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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