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Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2014, Volume 90, Issue 12
We investigate the purely spatial Lagrangian coordinate transformation from the Lagrangian to the basic Eulerian frame. We demonstrate three techniques for... 
GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | APPROXIMATION | ASTRONOMY & ASTROPHYSICS | DYNAMICS | NEWTONIAN COSMOLOGY | UNIVERSE | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of the Korean Physical Society, ISSN 0374-4884, 12/2018, Volume 73, Issue 12, pp. 1840 - 1844
Working in an arbitrary Lorentz frame, we address the question of formulating the covariant variational principle for classical, single-particle, dissipative,... 
Relativistic dynamics | Theoretical, Mathematical and Computational Physics | Variational principle | Rayleigh motion | Kanai Lagrangian | Physics, general | Physics | Particle and Nuclear Physics | Drag coefficient
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2013, Volume 87, Issue 12, p. 123503
Kinematical and dynamical properties of a generic inhomogeneous cosmological model, spatially averaged with respect to free-falling (generalized fundamental)... 
ACCELERATION | PERTURBATION-THEORY | DUST | BACKREACTION | ASTRONOMY & ASTROPHYSICS | DARK ENERGY | INHOMOGENEOUS FLUIDS | ZELDOVICH APPROXIMATION | NUMERICAL SIMULATIONS | NEWTONIAN COSMOLOGY | UNIVERSE | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics
Journal Article
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, ISSN 1475-7516, 05/2018, Issue 5
Journal Article
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, ISSN 1475-7516, 01/2016, Issue 1
We study the relativistic dynamics of a pressure-less and irrotational fluid of dark matter (CDM) with a cosmological constant (Lambda), up to second order in... 
2ND-ORDER | GENERAL-RELATIVITY | LARGE-SCALE STRUCTURE | gravity | ASTRONOMY & ASTROPHYSICS | cosmic flows | cosmological perturbation theory | dark matter theory | PHYSICS, PARTICLES & FIELDS
Journal Article
American Journal of Physics, ISSN 0002-9505, 09/2018, Volume 86, Issue 9, pp. 678 - 682
In introductory general relativity courses, free particle trajectories, such as astronomical orbits, are generally developed via a Lagrangian and variational... 
PHYSICS, MULTIDISCIPLINARY | EDUCATION, SCIENTIFIC DISCIPLINES | Hamiltonian function | Study and teaching | Orbits | Calculus | Comparative analysis | General relativity (Physics) | Lagrangian functions
Journal Article
Annals of Physics, ISSN 0003-4916, 09/2015, Volume 360, pp. 539 - 548
Journal Article
CLASSICAL AND QUANTUM GRAVITY, ISSN 0264-9381, 05/2019, Volume 36, Issue 10, p. 105004
The inner crust of a mature neutron star is composed of an elastic lattice of neutron-rich nuclei penetrated by free neutrons. These neutrons can flow relative... 
ENTRAINMENT | QUANTUM SCIENCE & TECHNOLOGY | perturbation theory | GENERAL-RELATIVITY | PHYSICS, MULTIDISCIPLINARY | ASTRONOMY & ASTROPHYSICS | OSCILLATIONS | FOUNDATIONS | fluid dynamics | neutron star | PHYSICS, PARTICLES & FIELDS
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2012, Volume 86, Issue 2, p. 023520
In this paper, we present a Lagrangian framework for the description of structure formation in general relativity, restricting attention to irrotational dust... 
PERTURBATION-THEORY | GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | LARGE-SCALE STRUCTURE | ASTRONOMY & ASTROPHYSICS | PANCAKE THEORY | INHOMOGENEOUS FLUIDS | FRIEDMAN-LEMAITRE COSMOLOGIES | ZELDOVICH APPROXIMATION | NEWTONIAN COSMOLOGY | AVERAGE PROPERTIES | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics
Journal Article
Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 07/2015, Volume 92, Issue 2, p. 023512
The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the first-order trace solutions that are... 
EXPANDING UNIVERSE | GRAVITATIONAL-INSTABILITY | GENERAL-RELATIVITY | ASTRONOMY & ASTROPHYSICS | PANCAKE THEORY | DYNAMICS | FRIEDMAN-LEMAITRE COSMOLOGIES | NON-LINEAR THEORY | ZELDOVICH APPROXIMATION | NEWTONIAN COSMOLOGY | WEYL TENSOR | PHYSICS, PARTICLES & FIELDS | General Relativity and Quantum Cosmology | Physics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2012, Volume 86, Issue 3, p. 031703
We develop a relativistic variational model for a nematic liquid crystal interacting with an electromagnetic field. The constitutive relation for a general... 
VARIATIONAL PRINCIPLE | MECHANICS | THERMODYNAMICS | FLUID | MOMENTUM | PHYSICS, FLUIDS & PLASMAS | LIGHT | DYNAMICS | CONSTITUTIVE EQUATIONS | PHYSICS, MATHEMATICAL
Journal Article
Physics Letters B, ISSN 0370-2693, 09/2014, Volume 736, Issue C, pp. 278 - 282
Journal Article
Physical Review D, ISSN 2470-0010, 09/2016, Volume 94, Issue 6
We rederive relativistic hydrodynamics as a Lagrangian effective theory using the doubled coordinates technique, allowing us to include dissipative terms. We... 
DYNAMICS | KINETIC-THEORY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2016, Volume 312, pp. 333 - 356
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 02/2017, Volume 14, Issue 2
Any theory that is based on an action principle has a much greater predictive power than one that does not have such a formulation. The formulation of a... 
astrophysics | rotational motion | Action principle | hydrodynamics | general relativity | VARIATIONAL PRINCIPLE | STARS | PHYSICS, MATHEMATICAL
Journal Article
The Astrophysical Journal Supplement Series, ISSN 0067-0049, 12/2011, Volume 197, Issue 2, p. 15
Journal Article
Physical Review Letters, ISSN 0031-9007, 11/2010, Volume 105, Issue 19, p. 190403
We demonstrate that Dirac fermions self-interacting or coupled to dynamic scalar fields can emerge in the low energy sector of designed bosonic and fermionic... 
PHYSICS, MULTIDISCIPLINARY | LATTICE | EQUATION | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ENERGY RANGE | FERMIONS | CORRELATIONS | GAUGE INVARIANCE | RELATIVISTIC RANGE | THIRRING MODEL | FIELD THEORIES | SPACE-TIME | SCALAR FIELDS | ATOMS | INVARIANCE PRINCIPLES | SPECTRA | QUANTUM FIELD THEORY | LAGRANGIAN FIELD THEORY
Journal Article
Physical Review D, ISSN 2470-0010, 04/2018, Volume 97, Issue 8
We propose the Lagrangian formulation for describing the motion of a test particle in a general relativistic, stationary, and axially symmetric spacetime. The... 
MATTER | CIRCULAR ORBITS | FRAMES | STAR | ASTRONOMY & ASTROPHYSICS | CENTRIFUGAL FORCES | DYNAMICS | GRAVITATIONAL-FIELD | OPTICAL REFERENCE GEOMETRY | RADIATION | STATIONARY | PHYSICS, PARTICLES & FIELDS
Journal Article