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Cosmology, Inflation Compact Extra Dimensions

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Cosmology, Inflation Compact Extra Dimensions

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    1. Cosmology, Inflation & Compact Extra Dimensions Chad A. Middleton Mesa State College March 1, 2007 Keith Andrew and Brett Bolen, Western Kentucky University

    2. Outline…

    3. 3D Euclidean Space Line element in Euclidean space is the line element measuring distance is invariant under rotations

    4. In 1905, Einstein submitted his Special Theory of Relativity

    5. 4D Minkowski Spacetime Line element in Minkowski (Flat) spacetime is the line element measuring ‘length’ is invariant under ‘rotations’

    6. In 1915, Einstein gives the world his General Theory of Relativity is the Einstein tensor describing the curvature of space is the stress-energy tensor describing the matter

    7. In 1929, Edwin Hubble discovers that the Universe is expanding!

    8. Did the Universe begin with a “Big Bang”??

    9. In 1965, observational evidence for the Big Bang!!

    10. COBE image of the Cosmic Microwave Background Radiation

    11. Spectrum of the Cosmic Microwave Background Radiation

    12. Antenna-fed television “snow”

    13. On large-distance scales… the Universe is Homogeneous & Isotropic

    14. For a Homogeneous & Isotropic Universe… … 3 possible geometries

    15. Friedmann-Robertson-Walker (FRW) Cosmology

    16. The FRW Equations are…

    17. Density as a function of the scale factor

    18. Inflation

    19. The Einstein-Hilbert Gauss-Bonnet field equations are

    20. Gauss-Bonnet FRW Cosmology

    21. Dynamical Compactification of the Extra Dimensions

    22. The D-dimensional FRW equations and the Conservation Equation are…

    24. Solution for the Scale Factor

    25. Conclusions

    26. Points of QFT ? 1D Strings 2 Types ? Closed & Open Different Vibrational Modes ? Different particles String Essentials…

    27. String Theory demands Extra Dimensions Compactified Extra Dimensions Non-Compactified Extra Dimensions

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