Rights statement: © 2018 American Physical Society
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Revealing infinite derivative gravity's true potential
T2 - The weak-field limit around de Sitter backgrounds
AU - Edholm, James
N1 - © 2018 American Physical Society
PY - 2018/3/15
Y1 - 2018/3/15
N2 - General Relativity is known to produce singularities in the potential generated by a point source. Our universe can be modelled as a de Sitter (dS) metric and we show that ghost-free Infinite Derivative Gravity (IDG) produces a non-singular potential around a dS background, while returning to the GR prediction at large distances. We also show that although there are an apparently infinite number of coefficients in the theory, only a finite number actually affect the predictions. By writing the linearised equations of motion in a simplified form, we find that at distances below the Hubble length scale, the difference between the IDG potential around a flat background and around a de Sitter background is negligible.
AB - General Relativity is known to produce singularities in the potential generated by a point source. Our universe can be modelled as a de Sitter (dS) metric and we show that ghost-free Infinite Derivative Gravity (IDG) produces a non-singular potential around a dS background, while returning to the GR prediction at large distances. We also show that although there are an apparently infinite number of coefficients in the theory, only a finite number actually affect the predictions. By writing the linearised equations of motion in a simplified form, we find that at distances below the Hubble length scale, the difference between the IDG potential around a flat background and around a de Sitter background is negligible.
U2 - 10.1103/PhysRevD.97.064011
DO - 10.1103/PhysRevD.97.064011
M3 - Journal article
VL - 97
JO - Physical Review D
JF - Physical Review D
SN - 1550-7998
IS - 6
M1 - 064011
ER -