Massless fields of generic Young symmetry type in AdSd space are analyzed. It is demonstrated that in contrast to massless fields in Minkowski space whose physical degrees of freedom transform in irreps of o(d−2) algebra, AdS massless mixed symmetry fields reduce to a number of irreps of o(d− 2) algebra. From the field theory perspective this means that not every massless field in flat space ad...

Flat Space Cosmology (FSC) spacetimes are exact solutions of 3D gravity theories. In this work, we study phase transition between FSC and Hot Spacetimes (HFS) in general minimal massive exotic gravity. We show that similar to topological the tunneling occurs two by comparing their free energies. also obtain corrections Bekenstein-Hawking entropy, its effect on is studied.

The study of surfaces immersed in a 3-dimensional ambient space plays a central role in the theory of submanifolds. In addition, Riemannian manifolds with constant sectional curvature can be considered as the most simple examples. Thus, one can think of surfaces with constant Gauss curvature in the Euclidean space R, hyperbolic space H or 3-sphere S as very natural objects of study. Through the...

In this paper we will show that any complete manifold of nonnegative curvature has a flat soul provided it has curvature going to zero at infinity. We also show some similar results about manifolds with bounded curvature at infinity. To establish these theorems we will prove some rigidity results for Riemannian submersions, eg., any Riemannian submersion with complete flat total space and compa...