𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Isotropic Cosmological Singularities: II. The Einstein–Vlasov System

✍ Scribed by K. Anguige; K.P. Tod

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
197 KB
Volume
276
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. After developing the general theory, we restrict our attention to spatially homogeneous cosmologies. We show that the Cauchy problem for these equations is well-posed with data consisting of the limiting particle distribution function at the singularity.

📜 SIMILAR VOLUMES

Isotropic Cosmological Singularities. II
Isotropic Cosmological Singularities. III. The Cauchy Problem for the Inhomogeneous Conformal Einstein–Vlasov Equations
✍ K. Anguige 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 188 KB

We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. It is shown that the Cauchy problem for these equations is well posed with data consisting of the limiting particle distribution function at the singularity.

On the Titchmarsh-Weyl Coefficients for
On the Titchmarsh-Weyl Coefficients for Singular S-Hermitian Systems II
✍ D. B. Hinton; A. Schneider 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 653 KB

## Abstract In part I of this work we defined a Titchmarsh‐Weyl‐coefficient __M__(λ) for singular 8 hermitian systems of arbitrary deficiency index. This construction proceeded by the method of von Noumann for selfadjoint extensions of symmetric operators. In this part we show how a Titchmarsh‐Weyl