802 research outputs found
Multi-Dimensional Astrophysical Structural and Dynamical Analysis I. Development of a Nonlinear Finite Element Approach
A new field of numerical astrophysics is introduced which addresses the
solution of large, multidimensional structural or slowly-evolving problems
(rotating stars, interacting binaries, thick advective accretion disks, four
dimensional spacetimes, etc.). The technique employed is the Finite Element
Method (FEM), commonly used to solve engineering structural problems. The
approach developed herein has the following key features:
1. The computational mesh can extend into the time dimension, as well as
space, perhaps only a few cells, or throughout spacetime.
2. Virtually all equations describing the astrophysics of continuous media,
including the field equations, can be written in a compact form similar to that
routinely solved by most engineering finite element codes.
3. The transformations that occur naturally in the four-dimensional FEM
possess both coordinate and boost features, such that
(a) although the computational mesh may have a complex, non-analytic,
curvilinear structure, the physical equations still can be written in a simple
coordinate system independent of the mesh geometry.
(b) if the mesh has a complex flow velocity with respect to coordinate space,
the transformations will form the proper arbitrary Lagrangian- Eulerian
advective derivatives automatically.
4. The complex difference equations on the arbitrary curvilinear grid are
generated automatically from encoded differential equations.
This first paper concentrates on developing a robust and widely-applicable
set of techniques using the nonlinear FEM and presents some examples.Comment: 28 pages, 9 figures; added integral boundary conditions, allowing
very rapidly-rotating stars; accepted for publication in Ap.
Exclusive electromagnetic production of strangeness on the nucleon : review of recent data in a Regge approach
In view of the numerous experimental results recently released, we provide in
this letter an update on the performance of our simple Regge model for
strangeness electroproduction on the nucleon. Without refitting any parameters,
a decent description of all measured observables and channels is achieved. We
also give predictions for spin transfer observables, recently measured at
Jefferson Lab which have high sensitivity to discriminate between different
theoretical approaches.Comment: 5 pages, 5 figure
Analytic Confinement and Regge Trajectories
A simple relativistic quantum field model with the Yukawa-type interaction is
considered to demonstrate that the analytic confinement of the constituent
("quarks") and carrier ("gluons") particles explains qualitatively the basic
dynamical properties of the spectrum of mesons considered as two-particle
stable bound states of quarks and gluons: the quarks and gluons are confined,
the glueballs represent bound states of massless gluons, the masses of mesons
are larger than the sum of the constituent quark masses and the Regge
trajectories of mesonic orbital excitations are almost linear.Comment: RevTeX, 16 pages, 3 figures and 2 table
Black Holes in Three Dimensional Topological Gravity
We investigate the black hole solution to (2+1)-dimensional gravity coupled
to topological matter, with a vanishing cosmological constant. We calculate the
total energy, angular momentum and entropy of the black hole in this model and
compare with results obtained in Einstein gravity. We find that the theory with
topological matter reverses the identification of energy and angular momentum
with the parameters in the metric, compared with general relativity, and that
the entropy is determined by the circumference of the inner rather than the
outer horizon. We speculate that this results from the contribution of the
topological matter fields to the conserved currents. We also briefly discuss
two new possible (2+1)-dimensional black holes.Comment: 14 pages, LateX, UNB Tech. Rep. 94-03, UCD- 94-3
Pair creation of higher dimensional black holes on a de Sitter background
We study in detail the quantum process in which a pair of black holes is
created in a higher D-dimensional de Sitter (dS) background. The energy to
materialize and accelerate the pair comes from the positive cosmological
constant. The instantons that describe the process are obtained from the
Tangherlini black hole solutions. Our pair creation rates reduce to the pair
creation rate for Reissner-Nordstrom-dS solutions when D=4. Pair creation of
black holes in the dS background becomes less suppressed when the dimension of
the spacetime increases. The dS space is the only background in which we can
discuss analytically the pair creation process of higher dimensional black
holes, since the C-metric and the Ernst solutions, that describe respectively a
pair accelerated by a string and by an electromagnetic field, are not know yet
in a higher dimensional spacetime.Comment: 10 pages; 1 figure included; RexTeX4. v2: References added. Published
version. v3: Typo in equation (46) fixe
On the equilibrium of a charged massive particle in the field of a Reissner-Nordstr\"om black hole
The multiyear problem of a two-body system consisting of a
Reissner-Nordstr\"om black hole and a charged massive particle at rest is here
solved by an exact perturbative solution of the full Einstein-Maxwell system of
equations. The expressions of the metric and of the electromagnetic field,
including the effects of the electromagnetically induced gravitational
perturbation and of the gravitationally induced electromagnetic perturbation,
are presented in closed analytic formulas.Comment: 9 pages, els macro
A Positivity Theorem for Gravitational Tension in Brane Spacetimes
We study transverse asymptotically flat spacetimes without horizons that
arise from brane matter sources. We assume that asymptotically there is a
spatial translation Killing vector that is tangent to the brane. Such
spacetimes are characterized by a tension, analogous to the ADM mass, which is
a gravitational charge associated with the asymptotic spatial translation
Killing vector. Using spinor techniques, we prove that the purely gravitational
contribution to the spacetime tension is positive definite.Comment: 8+1 page
Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
The Euclidean black hole has topology . It is
shown that -in Einstein's theory- the deficit angle of a cusp at any point in
and the area of the are canonical conjugates. The
black hole entropy emerges as the Euler class of a small disk centered at the
horizon multiplied by the area of the there.These results are
obtained through dimensional continuation of the Gauss-Bonnet theorem. The
extension to the most general action yielding second order field equations for
the metric in any spacetime dimension is given.Comment: 7 pages, RevTe
The Black Hole in Three Dimensional Space Time
The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a
negative cosmological constant, admit a black hole solution. The 2+1 black hole
-characterized by mass, angular momentum and charge, defined by flux integrals
at infinity- is quite similar to its 3+1 counterpart. Anti-de Sitter space
appears as a negative energy state separated by a mass gap from the continuous
black hole spectrum. Evaluation of the partition function yields that the
entropy is equal to twice the perimeter length of the horizon.Comment: This version is the one that appeared in PRL (1992), and has
important improvements with respect to the one previously submitted to the
archive. 13 pages, latex, no figure
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