Essays about: "Einstein field equations"

Showing result 1 - 5 of 13 essays containing the words Einstein field equations.

  1. 1. Holographic RG-flows and the Domain-Wall/Cosmology correspondence

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Jean-François Vaduret; [2022]
    Keywords : holography; cosmology; domain-wall; AdS; CFT; correspondence;

    Abstract : In this master thesis we investigate implications of the Domain-Wall/Cosmology (DW/C) correspondence on one-point functions of holographic RG-flows. The thesis gives a detailed computation of linearized gauge-invariant Einstein equations in (d+1) dimensions while making the DW/C correspondence explicit. READ MORE

  3. 2. Electrodynamic field at spatial infinity

    University essay from KTH/Fysik

    Author : Jakob Myhrman; [2022]
    Keywords : 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;

    Abstract : 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. READ MORE

  4. 3. Spherically Symmetric Gravitational Collapse

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Lucas Bring; [2021]
    Keywords : gravitational collapse; gravitation; general relativity; black hole; Schwarzschild coordinates; Gullstrand-Painleve coordinates; Friedmann-Robertson-Walker metric; finite-time collapse; Physics and Astronomy;

    Abstract : This thesis presents a derivation of the equation of motion of particles in a dust star, as it undergoes collapse. This is done by finding exact solutions to the Einstein field equations. We follow the original work by Oppenheimer and Snyder, starting from the general spherically symmetric metric in comoving coordinates. READ MORE

  5. 4. Decay of solutions to the Klein-Gordon equation on some expanding cosmological spacetimes

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Amol Sasane; [2019]
    Keywords : Klein-Gordon equation; general relativity; FLRW models; Schwarzschild-de Sitter; Reissner-Nordström-de Sitter; Physics and Astronomy;

    Abstract : The decay of solutions to the Klein-Gordon equation is studied in two expanding cosmological spacetimes, namely (1) the de Sitter universe in flat Friedmann-Lemaitre-Robertson-Walker (FLRW) form, and (2) the cosmological region of the Reissner-Nordström-de Sitter (RNdS) model. Using energy methods, for initial data with finite higher order energies, bounds on the decay rates of the solution are obtained. READ MORE

  6. 5. GPPZ and the Holographic Triforce against Scalars

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Jean-François Vaduret; [2019]
    Keywords : String theory; holography; RG-flow; gppz; domain wall; AdS; CFT;

    Abstract : We use gauge-invariant cosmological perturbation theory to compute one-point functions of active and inert scalar fields of the GPPZ RG-flow in AdS5. Linearized Einstein equations are computed and made gauge-invariant for D-dimensional Euclidean domain-wall geometry. READ MORE