## 14 Citations

### Hartle-Hawking state in the real-time formalism

- PhysicsPhysical Review D
- 2022

We study self-interacting massive scalar field theory in static spacetimes with a bifurcate Killing horizon and a wedge reflection. In this theory the Hartle-Hawking state is defined to have the N…

### Schwarzschild geometry counterpart in semiclassical gravity

- PhysicsPhysical Review D
- 2020

We investigate the effects of vacuum polarization on vacuum static spherically symmetric spacetimes. We start from the Polyakov approximation to the renormalized stress-energy tensor (RSET) of a…

### The Schwarzschild Metric

- PhysicsCompact Textbooks in Mathematics
- 2019

A basic black-hole solution of the Einstein equations is the Schwarzschild metric. The aim of this chapter is to introduce the reader to its geometry.

### George Szekeres 1911–2005

- ArtHistorical Records of Australian Science
- 2019

George Szekeres was a distinguished Hungarian-Australian mathematician, who worked in many different areas of mathematics, and with many collaborators. He was born in Budapest in 1911. His youth…

### On Local Characterization Results in Geometry and Gravitation

- Mathematics
- 2017

An important problem in differential geometry and in gravitation is to identify metrics in a fully coordinate independent manner. In fact, the very foundation of Riemannian geometry is based on the…

### Martin David Kruskal. 28 September 1925—26 December 2006

- PhysicsBiographical Memoirs of Fellows of the Royal Society
- 2017

Martin David Kruskal was one of the most versatile theoretical physicists of his generation and is distinguished for his enduring work in several different areas, most notably plasma physics, a…

### A novel quantum-mechanical interpretation of the Dirac equation

- Physics
- 2016

A novel interpretation is given of Dirac’s ‘wave equation for the relativistic electron’ as a quantum-mechanical one-particle equation. In this interpretation the electron and the positron are merely…

### Perfect fluid metrics conformal to the Schwarzschild exterior spacetime

- Physics
- 2012

We construct perfect fluid spacetimes by performing a conformal transformation on a non-conformally flat vacuum solution, namely the Schwarzschild exterior metric. It should be noted that conformally…

### Embeddings and time evolution of the Schwarzschild wormhole

- Computer Science, Physics
- 2012

It is shown how to embed spacelike slices of the Schwarzschild wormhole (or Einstein-Rosen bridge) in R3, including depictions of the dynamics of this nontraversable wormhole at constant Kruskal times up to and beyond the “pinching off” at KruskAl times ±1.

### The Behaviour of Test Particles in the Vicinity of a Stationary Black Hole

- Physics
- 2011

Studying general relativity, with spacetime as a curved four-dimensional pseudo-Riemannianspace, much of ones physical intuition is lost. Furthermore, there no longer existsany canonical way to…

## References

SHOWING 1-2 OF 2 REFERENCES

### The mathematical theory of relativity

- Geology
- 1923

Introduction 1. Elementary principles 2. The tensor calculus 3. The law of gravitation 4. Relativity mechanics 5. Curvature of space and time 6. Electricity 7. World geometry Supplementary notes…