𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generating potentials via difference equations

✍ Scribed by S. D. Maharaj; S. Thirukkanesh

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
113 KB
Volume
29
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

The condition for pressure isotropy, for spherically symmetric gravitational fields with charged and uncharged matter, is reduced to a recurrence equation with variable, rational coefficients. This difference equation is solved, in general, using mathematical induction leading to an exact solution to the Einstein field equations which extends the isotropic model of John and Maharaj. The metric functions, energy density and pressure are well behaved, which suggests that this model could be used to describe a relativistic sphere. The model admits a barotropic equation of state, which approximates a polytrope close to the stellar centre.

📜 SIMILAR VOLUMES

Solving singularly perturbed advection–r
Solving singularly perturbed advection–reaction equations via non-standard finite difference methods
✍ Jean M.-S. Lubuma; Kailash C. Patidar 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB

## Abstract We design and implement two non‐standard finite difference methods (NSFDMs) to solve singularly perturbed advection–reaction equations (SPARE). Our methods constitute a big plus to the class of those ‘rare’ fitted operator methods, which can be extended to singularly perturbed partial d