Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A gravito-electromagnetic analogy based on tidal tensors   We propose a new approach to a physical analogy between General Relativity
and Electromagnetism, based on tidal tensors of both theories. Using this
approach we write a covariant form for the gravitational analogues of the
Maxwell equations. The following realisations of the analogy are given. The
first one matches linearised gravitational tidal tensors to exact
electromagnetic tidal tensors in Minkwoski spacetime. The second one matches
exact magnetic gravitational tidal tensors for ultra-stationary metrics to
exact magnetic tidal tensors of electromagnetism in curved spaces. In the third
we show that our approach leads to two-step exact derivation of the Papapetrou
force on a gyroscope. We then establish a new proof for a class of tensor
identities that define invariants of the type $\vec{E}^2-\vec{B}^2$ and
$\vec{E}\cdot\vec{B}$, and we exhibit the invariants built from tidal tensors
in both gravity and electromagnetism. We contrast our approach with the two
gravito-electromagnetic analogies commonly found in the literature, and argue
that it sheds light on the debate about the limit of validity of one of the
analogies, and clarifies issues concerning the physical interpretation of the
other.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
18
The categories of this paper are: econ