Computation of covariant derivatives of the geodetic interval with coincident arguments

Rodionov, A. Ya.; Taranov, A.Yu.

doi:10.1088/0264-9381/4/6/028

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2018

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“…Christensen ( 1998 ) {MathTensor} reported work to support DeWitt’s approach to quantum field theory in curved spacetime, which required calculation to high orders of the behaviour of the geodesic interval as . This was also addressed by Rodionov and Taranov ( 1987 , 1988a ) {Reduce} and by Fulling ( 1991 ) who used bespoke C programs.…”

Section: Applicationsmentioning

confidence: 94%

Computer algebra in gravity research

MacCallum

2018

Living Rev Relativ

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The complicated nature of calculations in general relativity was one of the driving forces in the early development of computer algebra (CA). CA has become widely used in gravity research (GR) and its use can be expected to grow further. Here the general nature of computer algebra is discussed, along with some aspects of CA system design; features particular to GR’s requirements are considered; information on packages for CA in GR is provided, both for those packages currently available and for their predecessors; and applications of CA in GR are outlined.

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