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Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity

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Abstract

In this paper the dynamic compactification in Lovelock gravity with a cubic term is studied. The ansatz will be of space–time where the three dimensional space and the extra dimensions are constant curvature manifolds with independent scale factors. The numerical analysis shows that there exist a phenomenologically realistic compactification regime where the three dimensional hubble parameter and the extra dimensional scale factor tend to a constant. This result comes as surprise as in Einstein–Gauss–Bonnet gravity this regime exists only when the couplings of the theory are such that the theory does not admit a maximally symmetric solution (i.e. “geometric frustration”). In cubic Lovelock gravity however there always exists at least one maximally symmetric solution which makes it fundamentally different from the Einstein–Gauss–Bonnet case. Moreover, in opposition to Einstein–Gauss–Bonnet Gravity, it is also found that for some values of the couplings and initial conditions these compactification regimes can coexist with isotropizing solutions.

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Acknowledgements

AG was partially supported by the FONDECYT Grant 1150246 and AT was partially supports by the RFBR Grant 17-02-01008

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Moscow, Russia

    Dmitry Chirkov

  2. Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile

    Alex Giacomini

  3. Sternberg Astronomical Institute, Moscow State University, Moscow, Russia

    Alexey Toporensky

  4. Faculty of Physics, Higher School of Economics, Moscow, Russia

    Alexey Toporensky

Authors
  1. Dmitry Chirkov
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  2. Alex Giacomini
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  3. Alexey Toporensky
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Correspondence to Dmitry Chirkov.

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Chirkov, D., Giacomini, A. & Toporensky, A. Dynamic compactification with stabilized extra dimensions in cubic Lovelock gravity. Gen Relativ Gravit 50, 98 (2018). https://doi.org/10.1007/s10714-018-2417-x

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