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Autor:
Roberts, Mark D.
The form and application of the Lanczos potential for Bianchi spacetime are studied. The Lanczos potential is found in some specific cases then the general case studied. It leads to two coupled first order partial differential equations which althoug
Externí odkaz:
http://arxiv.org/abs/1910.00416
Autor:
Roberts, Mark D.
Rotational energy dissipation in the solar system confines the planets to the ecliptic, this can be thought of as a dimensional reduction from three dimensions to two. It is argued that the same mechanism restricts five dimensional matter to four dim
Externí odkaz:
http://arxiv.org/abs/1812.11379
Autor:
Roberts, Mark D.
The d'Alembertian $\Box\phi=0$ has solution $\phi=f(v)/r$, where $f$ is a function of a null coordinate $v$, and this allows creation of a divergent singularity out of nothing. In scalar-Einstein theory a similar situation arises both for the scalar
Externí odkaz:
http://arxiv.org/abs/1703.04579
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Autor:
Roberts, Mark D.1 (AUTHOR) robemark@gmail.com
Publikováno v:
Axioms (2075-1680). Sep2023, Vol. 12 Issue 9, p843. 7p.
Autor:
Roberts, Mark D.
Scalar-tensor theory has arbitrary functions of the scalar field in front of the geometric and scalar terms in the Lagrangain. The extent to which these arbitrary functions appear in the Wheeler-deWitt wavefunction of mini-super Robertson-Walker spac
Externí odkaz:
http://arxiv.org/abs/1611.09221
Autor:
Roberts, Mark D.
A solution to the massless scalar cosmological constant field equations is presented. The solution has imploding scalar and parts of anti-deSitter or deSitter spacetime as limiting cases. Some of the solutions properties are discussed however not muc
Externí odkaz:
http://arxiv.org/abs/1412.8470
Autor:
Roberts, Mark D.
It is argued that there are characteristic intervals associated with any particle that can be derived without reference to the speed of light $c$. Such intervals are inferred from zeros of wavefunctions which are solutions to the Schr\"odinger equati
Externí odkaz:
http://arxiv.org/abs/1501.02255
Autor:
Roberts, Mark D.
The unique spherically symmetric metric which has vanishing weyl tensor, is asymptotically desitter, and can model constant galactic rotation curves is presented. Two types of field equations are shown to have this metric as an exact solution. The fi
Externí odkaz:
http://arxiv.org/abs/1003.1309