000843623 000__ 04672cam\a2200493Ii\4500 000843623 001__ 843623 000843623 005__ 20230306144902.0 000843623 006__ m\\\\\o\\d\\\\\\\\ 000843623 007__ cr\cn\nnnunnun 000843623 008__ 180619s2018\\\\sz\\\\\\ob\\\\000\0\eng\d 000843623 020__ $$a9783319926728$$q(electronic book) 000843623 020__ $$a3319926721$$q(electronic book) 000843623 020__ $$z9783319926711 000843623 035__ $$aSP(OCoLC)on1041108943 000843623 035__ $$aSP(OCoLC)1041108943 000843623 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dN$T$$dOCLCF$$dEBLCP$$dUAB 000843623 049__ $$aISEA 000843623 050_4 $$aQC173.6 000843623 08204 $$a530.11$$223 000843623 1001_ $$aClough, Katy,$$eauthor. 000843623 24510 $$aScalar fields in numerical general relativity :$$binhomogeneous inflation and asymmetric bubble collapse /$$cKaty Clough. 000843623 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018. 000843623 300__ $$a1 online resource. 000843623 336__ $$atext$$btxt$$2rdacontent 000843623 337__ $$acomputer$$bc$$2rdamedia 000843623 338__ $$aonline resource$$bcr$$2rdacarrier 000843623 4901_ $$aSpringer theses 000843623 500__ $$a"Doctoral thesis accepted by King's College, London, UK." 000843623 504__ $$aIncludes bibliographical references. 000843623 5050_ $$aIntro; Supervisor's Foreword; Abstract; Acknowledgements; Contents; Nomenclature; Part I Background Material; 1 Introduction; 1.1 General Relativity; 1.1.1 General Covariance; 1.1.2 The Equivalence Principle; 1.1.3 Consequences of GR; 1.2 Numerical Relativity; 1.2.1 NR as a Cauchy Problem; 1.2.2 Key Historical Developments in NR; 1.2.3 Existing Numerical Codes and AMR; 1.3 Scalar Fields with Gravity; 1.3.1 Scalar Fields and Scalar Potentials; 1.3.2 Scalar Fields in Cosmology; 1.3.3 Critical Collapse of Scalar Fields; References; 2 Technical Background; 2.1 GR -- Key Theoretical Concepts 000843623 5058_ $$a2.1.1 Geometric Preliminaries2.1.2 The Einstein Equation from Geometric Principles; 2.1.3 The Einstein Equation from Action Principles; 2.2 NR -- Key Theoretical Concepts; 2.2.1 ADM Decomposition; 2.2.2 Numerical Stability; 2.2.3 Initial Conditions, Gauge Choice and Interpretation of Results; 2.3 Scalar Fields with Gravity; 2.3.1 Scalar Matter with Minimal Coupling; 2.3.2 Early Universe Cosmology; 2.3.3 Critical Collapse; References; Part II Code Development Work; 3 GRChombo -- Code Development and Testing; 3.1 Features of Chombo; 3.1.1 Chombo Structure and Classes 000843623 5058_ $$a3.1.2 Berger-Rigoutsos Block-Structured AMR3.1.3 Load Balancing; 3.2 Implementing GRChombo; 3.2.1 Evolution Equations; 3.2.2 Discretization and Time-Stepping; 3.2.3 Kreiss-Oliger Dissipation; 3.2.4 Boundary Conditions; 3.2.5 Initial Conditions; 3.2.6 Apparent Horizon Finder in Spherical Symmetry; 3.2.7 Extracting ADM Mass and Momenta; 3.2.8 Gravitational Wave Detection; 3.3 Testing GRChombo; 3.3.1 Apples with Apples Tests; 3.3.2 Vacuum Black Hole Spacetimes; 3.3.3 Choptuik Scalar Field Collapse; 3.3.4 Convergence Test: Head on Collision of Two Black Holes; 3.3.5 MPI Scaling Properties 000843623 5058_ $$a3.3.6 Performance ComparisonReferences; Part III Research Work; 4 Inhomogeneous Inflation; 4.1 Introduction; 4.2 Theory and Methodology; 4.2.1 Initial Conditions; 4.2.2 Numerical Set-Up; 4.3 Small Field Inflation; 4.3.1 Small Field Model with Extended Flat Direction; 4.3.2 Pull Back Effects in Small Field Inflation; 4.3.3 Small Field Model Without Extended Flat Direction; 4.4 Large Field Inflation; 4.4.1 Large Field Inflation with Constant K; 4.4.2 Can Black Holes Stop Inflation?; 4.4.3 Large Field Inflation with Spatially Varying K; 4.5 Conclusions; 4.5.1 Robustness of Small Field Inflation 000843623 5058_ $$a4.5.2 Robustness of Large Field InflationReferences; 5 Critical Bubble Collapse; 5.1 Introduction; 5.2 Methodology; 5.2.1 Gauge Conditions; 5.2.2 Initial Data; 5.2.3 Resolution and Convergence; 5.3 Spherical Symmetry; 5.3.1 Spherical Symmetry in 1+1D; 5.3.2 Spherical Symmetry in 3+1D; 5.4 Beyond Spherical Symmetry -- 3 + 1D Simulations; 5.4.1 Radial Perturbations of a Spherical Bubble -- Axisymmetric Bubbles; 5.4.2 Amplitude Perturbations of a Spherical Subble -- Asymmetric Bubbles; 5.5 Discussion; References; Part IV Conclusions; 6 Conclusions and Further Work; 6.1 Development of GRChombo 000843623 506__ $$aAccess limited to authorized users. 000843623 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 21, 2018). 000843623 650_0 $$aGeneral relativity (Physics)$$xMathematics. 000843623 650_0 $$aScalar field theory. 000843623 830_0 $$aSpringer theses. 000843623 852__ $$bebk 000843623 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-92672-8$$zOnline Access$$91397441.1 000843623 909CO $$ooai:library.usi.edu:843623$$pGLOBAL_SET 000843623 980__ $$aEBOOK 000843623 980__ $$aBIB 000843623 982__ $$aEbook 000843623 983__ $$aOnline 000843623 994__ $$a92$$bISE