Sökning: "Conformal Einstein space"
Hittade 4 avhandlingar innehållade orden Conformal Einstein space.
1. The Chevreton Superenergy Tensor in Einstein-Maxwell Spacetimes
Sammanfattning : In this thesis we investigate the superenergy tensor that was introduced by Chevreton in 1964 as an electromagnetic counterpart to the Bel-Robinson tensor for the gravitational feld.We show that in Einstein-Maxwell spacetimes with a source-free electromagnetic feld, the Chevreton superenergy tensor has many interesting properties. LÄS MER
2. On the Einstein-Vlasov system: Stationary Solutions and Small Data Solutions with Charged and Massless Particles
Sammanfattning : The Vlasov matter model describes an ensemble of collisionless particles moving through space-time. These particles interact via the gravitational field which they create collectively. In the framework of General Relativity this gravitational field is described by space-time curvature. LÄS MER
3. Conformal Einstein spaces and Bach tensor generalization in n dimensions
Sammanfattning : In this thesis we investigate necessary and su±cient conditions for an n-dimensional space, n ≥ 4, to be locally conformal to an Einstein space. After reviewing the classical results derived in tensors we consider the four-dimensional spinor result of Kozameh, Newman and Tod. LÄS MER
4. Information geometries in black hole physics
Sammanfattning : In this thesis we aim to develop new perspectives on the statistical mechanics of black holes using an information geometric approach (Ruppeiner and Weinhold geometry). The Ruppeiner metric is defined as a Hessian matrix on a Gibbs surface, and provides a geometric description of thermodynamic systems in equilibrium. LÄS MER