Schwarzschild field inn dimensions and the dimensionality of space problem

  title={Schwarzschild field inn dimensions and the dimensionality of space problem},
  author={Frank Robert Tangherlini},
  journal={Il Nuovo Cimento (1955-1965)},
  • F. Tangherlini
  • Published 1 February 1963
  • Physics
  • Il Nuovo Cimento (1955-1965)
SummaryThe fact that our present laws of physics admit of a formal extension to spaces of an arbitrary number of dimensions suggests that there must be some principle (or principles) operative which in conjunction with these laws entails the observed specificity of spatial dimensionality,n=3. Generalizing from an approach suggested by the work ofEhrenfest (and independently byG. J. Whitrow) on the Newtonian keplerian problem inn dimensions, it is proposed that this principle may be tentatively… 

On the Physical Problem of Spatial Dimensions: An Alternative Procedure to Stability Arguments

Why is space 3-dimensional? The first answer to this question, entirely based on Physics, was given by Ehrenfest, in 1917, who showed that the stability requirement for n-dimensional two-body

Source of the Schwarzschild field

SummaryAn analysis is given of the fundamental question raised by Wheeler as to whether the Schwarzschild field, in the absence of a, finite interior solution, may be regarded as describing an

Scalar Fields in Multidimensional Gravity. No-Hair and Other No-Go Theorems

Global properties of static, spherically symmetric configurations with scalar fields of sigma-model type with arbitrary potentials are studied in D dimensions, including models where the space-time

Robinson–Trautman spacetimes in higher dimensions

As an extension of the Robinson–Trautman solutions of D = 4 general relativity, we investigate higher dimensional spacetimes which admit a hypersurface orthogonal, non-shearing and expanding geodesic

Dimensionality of space and the pulsating universe

SummaryIt is shown that, when the dimensionality of the kinetic-energy term is increased in Einstein’s field equations for the Friedmann-Robertson-Walker metric inn dimensions, in the absence of a

Some Relativistic and Gravitational Properties of the Wolfram Model

It is proved that causal invariance (namely, the requirement that all causal graphs be isomorphic, irrespective of the choice of hypergraph updating order) is equivalent to a discrete version of general covariance, with changes to the updating order corresponding to discrete gauge transformations, and a discrete analog of Lorentz covariance is deduced.

Alternatives to Schwarzschild in the weak field limit of General Relativity

The metric outside an isolated object made up of ordinary matter is bound to be the classical Schwarzschild vacuum solution of General Relativity. Nevertheless, some solutions are known (e.g.

Instantons, black holes, and harmonic functions

We find a class of five-dimensional Einstein-Maxwell type Lagrangians which contains the bosonic Lagrangians of vector multiplets as a subclass, and preserves some features of supersymmetry, namely

Universal black holes

We prove that a generalized Schwarzschild-like ansatz can be consistently employed to construct d -dimensional static vacuum black hole solutions in any metric theory of gravity for which the



Zur Formulierung quantisierter Feldtheorien

SummaryA new formulation of quantized field theories is proposed. Starting from some general requirements we derive a set of equations which determine the matrix-elements of field operators and the

Klein-Gordon and Dirac Equations in General Relativity

It is shown, that when account is taken of the gravitational field of a point charge, the Klein-Gordon and Dirac equations for the motion of a charged particle in a Coulomb field do not possess


The lower limit was measured for the lifetime of nucleons against spontaneous decay by processes which do not conserve the number of nucleons. The decay modes release charged particles with energies