Sökning: "Newman-Penrose formalism"

Hittade 4 uppsatser innehållade orden Newman-Penrose formalism.

  1. 1. Electrodynamic field at spatial infinity

    Master-uppsats, KTH/Fysik

    Författare :Jakob Myhrman; [2022]
    Nyckelord :Spatial infinity; Conformal rescaling; Minkowski space; Penrose Diagram; Einstein universe; Newman-Penrose formalism; Sigma-process; Resolution of singularities; Maxwell s equations; Cylinder at spatial infinity; Rumslig oändlighet; Konform omskalning; Minkowski rummet; Penrose Diagram; Einsteins universum; Newman-Penrose formalismen; Sigma-processen; Singularitetupplösning; Maxwells ekvationer; Cylindern vid rumslig oändlighet;

    Sammanfattning : The treatment of spatial infinity is one of the remaining major open problems in the theory of isolated self-gravitating systems. Especially when one wants to model scattering of gravitational radiation in spacetime. In this thesis the conformal theory is used to study simple electromagnetic fields, close to spatial infinity. LÄS MER

  3. 2. Analytical Expressions for the Hawking Mass in slowly rotating Kerr and Kerr-Newman Space-times

    Magister-uppsats, Matematiska institutionen

    Författare :Martin Bengtsson; [2007]
    Nyckelord :Hawking mass; Penrose s inequality; Newman-Penrose formalism; Nester-Witten integral; Kerr space-time; Kerr-Newman space-time;

    Sammanfattning : Penrose's inequality which relates the total mass of a space-time containing a black hole with the area of the event horizon, is a yet unproven condition that is required for the cosmic censorship hypothesis. It is believed that the inequality could be proved by using properties of the Hawking mass. LÄS MER

  4. 3. Hawkingmassa i Kerr-rumtid

    Uppsats för yrkesexamina på grundnivå, Matematiska institutionen

    Författare :Jonas Jonsson Holm; [2004]
    Nyckelord :Applied mathematics; Hawking mass; black holes; quasi-local mass; Newman-Penrose formalism; Tillämpad matematik;

    Sammanfattning : In this thesis we calculate the Hawking mass numerically for surfaces in Kerr spacetime. The Hawking mass is a useful tool for proving the Penrose inequality and the result does not contradict the inequality. It also does not contradict the assumption that the Hawking mass should be monotonic for surfaces in Kerr spacetime. LÄS MER

  5. 4. Asymptotiska egenskaper för Lanczosspinoren

    Uppsats för yrkesexamina på grundnivå, Matematiska institutionen

    Författare :Thomas Bäckdahl; [2003]
    Nyckelord :Applied mathematics; Lanczos; Weyl; general relativity; spacelike infinity; tensor; spinor; Newman-Penrose formalism; Tillämpad matematik;

    Sammanfattning : Asymptotically flat spaces are widely studied because it is one natural way of describing an isolated system in general relativity. In this thesis we study what happens to the Lanczos potential at spacelike infinity in such spacetimes. LÄS MER