Semantic Scholar Open Access 2022 4 sitasi

A space-time calculus based on symmetric 2-spinors

Steffen Aksteiner Thomas Bäckdahl

Abstrak

In this paper we present a space-time calculus for symmetric spinors, including a product with a number of index contractions followed by symmetrization. As all operations stay within the class of symmetric spinors, no involved index manipulations are needed. In fact spinor indices are not needed in the formalism. It is also general because any covariant tensor expression in a 4-dimensional Lorentzian spacetime can be translated to this formalism. The computer algebra implementation SymSpin as part of xAct for Mathematica is also presented.

Topik & Kata Kunci

Penulis (2)

S

Steffen Aksteiner

T

Thomas Bäckdahl

Format Sitasi

Aksteiner, S., Bäckdahl, T. (2022). A space-time calculus based on symmetric 2-spinors. https://doi.org/10.1007/s10714-023-03088-6

Akses Cepat

Lihat di Sumber doi.org/10.1007/s10714-023-03088-6
Informasi Jurnal
Tahun Terbit
2022
Bahasa
en
Total Sitasi
Sumber Database
Semantic Scholar
DOI
10.1007/s10714-023-03088-6
Akses
Open Access ✓