Stable wormholes on a noncommutative-geometry background admitting a one-parameter group of conformal motions
نویسندگان
چکیده
منابع مشابه
Conformal Structures in Noncommutative Geometry
It is well-known that a compact Riemannian spin manifold (M, g) can be reconstructed from its canonical spectral triple (C∞(M), L2(M,ΣM),D) where ΣM denotes the spinor bundle and D the Dirac operator. We show that g can be reconstructed up to conformal equivalence from (C∞(M), L2(M,ΣM), sign(D)).
متن کاملConformal Geometry of One-parameter Families of Curves
A single regular analytic arc in the plane has no conformai differential invariants. The conformai theory of curvilinear angles was initiated by Kasner, and has been elaborated by him and others. The present paper is concerned with conformai differential invariants of a real one-parameter family of regular analytic arcs in the plane. We assume that the family is defined in some region R of the ...
متن کاملMm Obius Transformations in Noncommutative Conformal Geometry
We study the projective linear group PGL 2 (A) associated with an arbitrary algebra A and its subgroups from the point of view of their action on the space of involutions in A. This action formally resembles M obius transformations known from complex geometry. By specifying A to be an algebra of bounded operators in a Hilbert space H, we rediscover the Mobius group ev (M) de ned by Connes and...
متن کاملNoncommutative geometry inspired wormholes and dirty black holes
We provide new exact solutions of the Einstein equations which generalize the noncommutative geometry inspired Schwarzschild metric, previously obtained by the authors. We consider here more general equations of state and find new geometries describing both a regular “dirty black hole” and a “wormhole”. We discuss strong and weak energy condition violation and variuos aspects of the regular dir...
متن کاملMöbius Transformations in Noncommutative Conformal Geometry
We study the projective linear group PGL2(A) associated with an arbitrary algebra A, and its subgroups from the point of view of their action on the space of involutions in A. This action formally resembles Möbius transformations known from complex geometry. By specifying A to be an algebra of bounded operators in a Hilbert space H, we rediscover the Möbius group μev(M) defined by Connes and st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indian Journal of Physics
سال: 2015
ISSN: 0973-1458,0974-9845
DOI: 10.1007/s12648-015-0812-7