Field equations in Chern-Simons-Gauss-Bonnet gravity - INSPIRE

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Field equations in Chern-Simons-Gauss-Bonnet gravity

Alexis Ortega
(
- Brown U.
)
,
Tatsuya Daniel
(
- Brown U.
)
,
Savvas M. Koushiappas
(
- Brown U. and
- MIT, Cambridge, CTP
)

Nov 8, 2024

26 pages

Published in:

Phys.Rev.D 111 (2025) 6, 063506

Published: Mar 3, 2025

e-Print:

2411.05911 [gr-qc]

DOI:

10.1103/PhysRevD.111.063506 (publication)

Report number:

MIT-CTP/5806

View in:

ADS Abstract Service

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Abstract: (APS)

We investigate the effects of Chern-Simons-Gauss-Bonnet gravity on fundamental metrics. This theory involves perturbative corrections to general relativity, as well as two scalar fields, the axion and the dilaton, which arise from Chern-Simons and Gauss-Bonnet gravity modifications respectively. The combined Chern-Simons-Gauss-Bonnet gravity is motivated by a wide range of theoretical and phenomenological perspectives, including particle physics, string theory, and parity violation in the gravitational sector. In this work, we provide the complete set of field equations and equations of motion of the Chern-Simons-Gauss-Bonnet modified gravity theory for a suite of fundamental metrics (Friedmann-Lemaître-Robertson-Walker, Schwarzschild, spherically symmetric, and perturbed Minkowski), under no prior assumptions on the behavior of the fields. The full set of field equations and equations of motion can be numerically solved and applied to specific observables under certain assumptions, and can be used to place constraints on the Chern-Simons-Gauss-Bonnet modified gravity theory.

Note:

26 pages; Accepted for publication in PRD

References(123)

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