# Space–time slices and surfaces of revolution

@article{Giblin2004SpacetimeSA, title={Space–time slices and surfaces of revolution}, author={John T. Giblin and Andrew D. Hwang}, journal={Journal of Mathematical Physics}, year={2004}, volume={45}, pages={4551-4559} }

Under certain conditions, a (1+1)-dimensional slice ĝ of a spherically symmetric black hole space–time can be equivariantly embedded in (2+1)-dimensional Minkowski space. The embedding depends on a real parameter that corresponds physically to the surface gravity κ of the black hole horizon. Under conditions that turn out to be closely related, a real surface that possesses rotational symmetry can be equivariantly embedded in three-dimensional Euclidean space. The embedding does not obviously…

## 4 Citations

### 2 1 D ec 2 00 4 CURVATURE IN SPECIAL BASE CONFORMAL WARPED PRODUCTS

- Mathematics
- 2004

We introduce a new class of an extension of warped products, called as base conformal warped products as well as a subclass of this structure, called special base conformal warped products because of…

### Curvature in Special Base Conformal Warped Products

- Mathematics
- 2004

We introduce the concept of a base conformal warped product of two pseudo-Riemannian manifolds. We also define a subclass of this structure called as a special base conformal warped product. After,…

### 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.

### About curvature, conformal metrics and warped products

- Mathematics
- 2007

We consider the curvature of a family of warped products of two pseduo-Riemannian manifolds (B, gB) and (F, gF) furnished with metrics of the form c2gB ⊕ w2gF and, in particular, of the type w2μgB ⊕…

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