Nonmetricity formulation of general relativity and its scalar-tensor extension - INSPIRE

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Nonmetricity formulation of general relativity and its scalar-tensor extension

Laur Järv
(
- Tartu, Inst. Phys.
)
,
Mihkel Rünkla
(
- Tartu, Inst. Phys.
)
,
Margus Saal
(
- Tartu, Inst. Phys.
)
,
Ott Vilson
(
- Tartu, Inst. Phys.
)

Feb 1, 2018

7 pages

Published in:

Phys.Rev.D 97 (2018) 12, 124025

Published: Jun 12, 2018

e-Print:

1802.00492 [gr-qc]

DOI:

10.1103/PhysRevD.97.124025

View in:

reference search183 citations

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Abstract: (APS)

Einstein’s celebrated theory of gravitation can be presented in three forms: general relativity, teleparallel gravity, and the rarely considered before symmetric teleparallel gravity. Extending the latter, we introduce a new class of theories where a scalar field is coupled nonminimally to nonmetricity Q, which here encodes the gravitational effects like curvature R in general relativity or torsion T in teleparallel gravity. We point out the similarities and differences with analogous scalar-curvature and scalar-torsion theories by discussing the field equations, role of connection, conformal transformations, relation to f(Q) theory, and cosmology. The equations for a spatially flat universe coincide with those of teleparallel dark energy, thus allowing us to explain accelerating expansion.

Note:

7 pages, 2 figures, REVTeX, clarifications and references added, version accepted for publication in PRD

gravitation: teleparallel
field theory: scalar
gravitation: effect
differential forms: 3
general relativity
scalar tensor
curvature
space-time: Robertson-Walker
space-time: torsion

References(57)

Figures(0)

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