Stellar oscillations in Eddington-inspired Born-Infeld gravity

Sotani, Hajime

doi:10.48550/arxiv.1406.3097

Cited by 5 publications

(7 citation statements)

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“…Legend: ST="Scalar-Tensor," ≡GR="Same solutions as in GR," ⊃GR="GR solutions are also solutions of the theory," NR="Non rotating," SR="Slowly rotating," FR="Fast rotating/Generic rotation," ?=unknown or uncertain. - [189,190] ?…”

Section: Present and Future Tests Of Strong Gravitymentioning

confidence: 99%

“…Sham et al [189] studied the radial stability of relativistic stars in EiBI. Sotani [190] investigated nonradial oscillations in the Cowling approximation, finding that the observation of the fundamental mode frequency may be used to distinguish EiBI gravity from GR if the coupling is sufficiently large. Because of the peculiar nonlinear coupling to matter, exotic star-like solutions (such as pressureless stars [182,183], wormholes [564] and geons [327]) exist in this theory.…”

Section: Gravity With Auxiliary Fieldsmentioning

confidence: 99%

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Testing General Relativity with Present and Future Astrophysical Observations

Berti,

Barausse,

Cardoso

et al. 2015

Preprint

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135

207

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One century after its formulation, Einstein's general relativity has made remarkable predictions and turned out to be compatible with all experimental tests. Most of these tests probe the theory in the weak-field regime, and there are theoretical and experimental reasons to believe that general relativity should be modified when gravitational fields are strong and spacetime curvature is large. The best astrophysical laboratories to probe strong-field gravity are black holes and neutron stars, whether isolated or in binary systems. We review the motivations to consider extensions of general relativity. We present a (necessarily incomplete) catalog of modified theories of gravity for which strong-field predictions have been computed and contrasted to Einstein's theory, and we summarize our current understanding of the structure and dynamics of compact objects in these theories. We discuss current bounds on modified gravity from binary pulsar and cosmological observations, and we highlight the potential of future gravitational wave measurements to inform us on the behavior of gravity in the strong-field regime.

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Section: Present and Future Tests Of Strong Gravitymentioning

confidence: 99%

Section: Gravity With Auxiliary Fieldsmentioning

confidence: 99%

Testing General Relativity with Present and Future Astrophysical Observations

Berti,

Barausse,

Cardoso

et al. 2015

Preprint

Self Cite

135

207

View full text Add to dashboard Cite

show abstract

“…More relevant studies can be found in Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].It was shown in Refs. [5,6,24] that, in the low density and curvature limit, EiBI gravity recoveries the conventional Friedman cosmology.…”

mentioning

confidence: 91%

“…More relevant studies can be found in Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

Large scale structure formation in Eddington-inspired Born-Infeld gravity

2014

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We study the large scale structure formation in Eddington-inspired Born-Infeld (EiBI) gravity. It is found that the linear growth of scalar perturbations in EiBI gravity deviates from that in general relativity for modes with large wave numbers (k), but the deviation is largely suppressed with the expansion of the Universe. We investigate the integrated Sachs-Wolfe effect in EiBI gravity, and find that its effect on the angular power spectrum of the anisotropy of the cosmic microwave background (CMB) is almost the same as that in the Lambda-cold dark matter (ΛCDM) model. We further calculate the linear matter power spectrum in EiBI gravity and compare it with that in the ΛCDM model. Deviation is found on small scales (k 0.1h Mpc −1 ), which can be tested in the future by observations from galaxy surveys.

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“…Several papers have investigated the signature of alternative theories of gravity on the NS oscillation spectrum. Sotani et al studied nonradial oscillations in scalartensor gravity [43][44][45], TeVeS [46][47][48][49] and Eddingtoninspired Born-Infeld gravity [50]. In particular, Refs.…”

Section: Introductionmentioning

confidence: 99%

Torsional oscillations of neutron stars in scalar-tensor theory of gravity

et al. 2014

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We study torsional oscillations of neutron stars in the scalar-tensor theory of gravity using the relativistic Cowling approximation. We compute unperturbed neutron star models adopting realistic equations of state for the neutron star's core and crust. For scalar-tensor theories that allow for spontaneous scalarization, the crust thickness can be significantly smaller than in general relativity. We derive the perturbation equation describing torsional oscillations in scalar-tensor theory, and we solve the corresponding eigenvalue problem to find the oscillation frequencies. The fundamental mode (overtone) frequencies become smaller (larger) than in general relativity for scalarized stellar models. Torsional oscillation frequencies may yield information on the crust microphysics if microphysics effects are not degenerate with strong-gravity effects, such as those due to scalarization. To address this issue, we consider two different models for the equation of state of the crust and we look at the effects of electron screening. The effect of scalarization on torsional oscillation frequencies turns out to be smaller than uncertainties in the microphysics for all spontaneous scalarization models allowed by binary pulsar observations. Our study shows that the observation of quasiperiodic oscillations following giant flares can be used to constrain the microphysics of neutron star crusts, whether spontaneous scalarization occurs or not.

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Stellar oscillations in Eddington-inspired Born-Infeld gravity

Cited by 5 publications

References 0 publications

Testing General Relativity with Present and Future Astrophysical Observations

Testing General Relativity with Present and Future Astrophysical Observations

Large scale structure formation in Eddington-inspired Born-Infeld gravity

Torsional oscillations of neutron stars in scalar-tensor theory of gravity

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