Richard W. Lindquist's research while affiliated with Wesleyan University and other places

Publications (5)

Article
Kruskal's transformation of the Schwarzschild metric is generalized to apply to the stationary, axially symmetric vacuum solution of Kerr, and is used to construct a maximal analytic extension of the latter. In the low angular momentum case, a2 < m2, this extension consists of an infinite sequence Einstein‐Rosen bridges joined in time by successive...
Article
A general-relativistic form of the Boltzmann transport equation is developed for particles or radiation interacting with an external medium. Thus generalized, the equations can be used to study radiative transfer in strong, time-varying gravitational fields. In particular, they are applied to the problem of neutrino transport in a massive spherical...
Article
The problem of two interacting masses is investigated within the framework of geometrodynamics. It is assumed that the space-time continuum is free of all real sources of mass or charge; particles are identified with multiply connected regions of empty space. Particular attention is focused on an asymptotically flat space containing a “handle” or “...
Article
A class of solutions of the time‐symmetric initial‐value equations for gravitation and electromagnetism is obtained on a two‐sheeted manifold containing N Einstein‐Rosen bridges. The initial metric tensor and electric field are expressed in terms of a pair of harmonic functions, called ``metric potentials,'' which are required to be analytic and as...
Article
The geometrodynamical description of particles by means of topological ; features of empty space-time is applied here to the case of N charged masses that ; are momentarily at rest. These particles are represented by Einstein-Rosen ; bridges in a manifold that satisfies the time-symmetric initial vaiue equations ; of gravitation and electromagnetis...

Citations

... The QNMs of the Teukolsky equation have found use in astrophysics, theoretical physics, and mathematical relativity [3][4][5][6]. Teukolsky QNM mode calculations are typically computed using coordinates where the constant time hypersurfaces intersect the bifurcation sphere and spatial infinity (for example Boyer-Lindquist coordinates have this property [7]) [2,[8][9][10][11]. As was pointed out though by Zenginoglu, horizon-penetrating, hyperboloidally compactified (HPHC) coordinates-that is, coordinates where constant time hypersurfaces intersect both the black hole horizon and future null infinity (see figure 1)-can be considered a more 'natural' set of coordinates to study black hole perturbations [1]. ...
... As an example of a truly dynamical spacetime we consider the head-on collision of two black holes. As initial data we adopt "Brill-Lindquist" [35] data, meaning that the initial slice is conformally flat, time-symmetric, and that the conformal factor is given by ...
... We write Einstein's equations as a Cauchy problem and adopt the Baumgarte-Shapiro-Shibata-Nakamura formulation [45,46] of the time evolution equations complemented with the moving-puncture gauge conditions [47,48]. We prepare Brill-Lindquist initial data [49,50] for head-on collisions or Bowen-York initial data [51,52] for a quasicircular BH binary. ...
... Another issue was the instability of these structures. Indeed, numerical calculations performed by Wheelers's former PhD student Richard Lindquist together with Susan Hahn of IBM indicated that the "throat" of a wormhole would inevitably collapse and leave behind a singular configuration with infinite spacetime curvature (Hahn and Lindquist, 1964). Geons originally appeared to gradually vanish by leaking their energy (Wheeler, 1961, p. 144) until they were believed to collapse as violently as massive stars. ...
... It is for this reason that proper treatment of neutrino transport is indispensable to unravel the core-collapse supernova explosions and subsequent evolution. The theoretical formulations and numerical simulations is based on the neutrino radiation transport theory [117,118,119,120,121], where neutrinos treated as radiation are coupled to the matter sector described by hydrodynamics. However, the conventional radiation transport theory misses the important feature of left-handedness of neutrinos. ...