For the two-dimensional Liouville equation arising in embedding theory, the authors prove that decay at infinity alone forces rotational symmetry, and for the three-dimensional case they prove uniqueness of smooth spherically symmetric solutions.
Challenges in Cosmology from the Big Bang to Dark Energy, Dark Matter and Galaxy Formation
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I review the current status of Big Bang Cosmology, with emphasis on current issues in dark matter, dark energy, and galaxy formation. These topics motivate many of the current goals of experimental cosmology which range from targeting the nature of dark energy and dark matter to probing the epoch of the first stars and galaxies.
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Analysis of the equations of motion of fictitious matter in embedding theory
For the two-dimensional Liouville equation arising in embedding theory, the authors prove that decay at infinity alone forces rotational symmetry, and for the three-dimensional case they prove uniqueness of smooth spherically symmetric solutions.