Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Generalized ghost-free quadratic curvature gravity
AU - Biswas, Tirthabir
AU - Conroy, Aindriú
AU - S. Koshelev, Alexey
AU - Mazumdar, Anupam
N1 - 22 pages. Revised argument in section 3.1. Results unchanged
PY - 2014/7/14
Y1 - 2014/7/14
N2 - In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic freedom in the ultraviolet. We provide a detailed algorithm for deriving the equations of motion for such actions containing an arbitrary number of the covariant D'Alembertian operators, and this is our main result. We also perform a number of tests on the field equations we derive, including checking the Bianchi identities and the weak-field limit. Lastly, we consider the special subclass of ghost and asymptotically free theories of gravity by way of an example.
AB - In this paper we study the most general covariant action of gravity up to terms that are quadratic in curvature. In particular this includes non-local, infinite derivative theories of gravity which are ghost-free and exhibit asymptotic freedom in the ultraviolet. We provide a detailed algorithm for deriving the equations of motion for such actions containing an arbitrary number of the covariant D'Alembertian operators, and this is our main result. We also perform a number of tests on the field equations we derive, including checking the Bianchi identities and the weak-field limit. Lastly, we consider the special subclass of ghost and asymptotically free theories of gravity by way of an example.
KW - hep-th
KW - astro-ph.CO
KW - gr-qc
U2 - 10.1088/0264-9381/31/15/159501
DO - 10.1088/0264-9381/31/15/159501
M3 - Journal article
VL - 31
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 15
M1 - 159501
ER -