Post-Tolman-Oppenheimer-Volkoff formalism for relativistic stars

Glampedakis, Kostas; Pappas, George; Silva, Hector O.; Berti, Emanuele

doi:10.1103/physrevd.92.024056

Cited by 41 publications

(57 citation statements)

References 65 publications

(139 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[31], and then promote the equations to the relativistic case in the way that the Tolman-Oppenheimer-Volkoff (TOV) equation is recovered in the absence of Lorentz violation. The strategy is inspired by the post-TOV approach [51,52]. Our method inherits the model-independent advantage of the SME framework and saves us from the trouble of solving the full modified Einstein field equations.…”

Section: Introductionmentioning

confidence: 99%

Neutron star structure in the minimal gravitational Standard-Model Extension and the implication to continuous gravitational waves

Zhao

Shao

2020

Physics Letters B

View full text Add to dashboard Cite

Tiny violation of Lorentz invariance has been the subject of theoretic study and experimental test for a long time. We use the Standard-Model Extension (SME) framework to investigate the effect of the minimal Lorentz violation on the structure of a neutron star. A set of modified Tolman-Oppenheimer-Volkoff (TOV) equations are proposed in considering the minimal Lorentz violation, and then an approximate perturbation solution up to the leading order of Lorentz violation is found. We also estimate the quadrupole radiation of a spinning neutron star due to the anisotropy in its structure caused by the minimal Lorentz violation. The calculation puts forward a new test for Lorentz invariance in the strong-field regime when continuous gravitational waves are observed in the future.

show abstract

Section: Introductionmentioning

confidence: 99%

Neutron star structure in the minimal gravitational Standard-Model Extension and the implication to continuous gravitational waves

Zhao

Shao

2020

Physics Letters B

View full text Add to dashboard Cite

show abstract

“…This translates into terms belonging to the same family affecting the mass-radius relations in a self-similar manner (cf. [26], Figs. 3, 6 and 7).…”

Section: A Overview Of the Post-tov Formalismmentioning

confidence: 98%

“…Let us start by briefly reviewing the post-TOV formalism developed in Refs. [26,27] and the ppE formalism introduced in Ref. [28] and expanded in [33].…”

Section: From Post-tov To Ppementioning

confidence: 99%

More than the sum of its parts: Combining parametrized tests of extreme gravity

Silva

Yunes

2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

We connect two formalisms that describe deformations away from general relativity, one valid in the strong-field regime of neutrons stars and another valid in the radiative regime of gravitational waves: the post-Tolman-Oppenheimer-Volkoff and the parametrized-post-Einsteinian formalisms respectively. We find that post-Tolman-Oppenheimer-Volkoff deformations of the exterior metric of an isolated neutron star induce deformations in the orbital binding energy of a neutron star binary. Such a modification to the binding energy then percolates into the gravitational waves emitted by such a binary, with the leading-order post-Tolman-Oppenheimer-Volkoff modifications introducing a second post-Newtonian order correction to the gravitational wave phase. The lack of support in gravitational wave data for General Relativity deformations at this post-Newtonian order can then be used to place constraints post-Tolman-Oppenheimer-Volkoff parameters. As an application, we use the binary neutron star merger event GW170817 to place the constraint −2.4 ≤ χ ≤ 44 (at 90% credibility) on a combination of post-Tolman-Oppenheimer-Volkoff parameters. We also explore the implications of this result to the possible deformations of the mass-radius relation of neutron stars allowed within this formalism. This work opens the path towards theory-independent tests of gravity, combining astronomical observations of neutron stars and gravitational wave observations.

show abstract

“…If the separations from GR are not too large, then the post-TOV formalism generalizes the post-Newtonian formalism (necessary because of the not-small gravitational fields) to the static equilibrium equations [50,51,52,53]. The TOV system, separating slightly from General Relativity by the small terms with coefficients δ i (at first order) and π i , µ i (at second order) has been expressed as…”

Section: Modifications In the Post-tov Formalismmentioning

confidence: 99%

Hadron matter in neutron stars in view of gravitational wave observations

Llanes-Estrada

Lope-Oter

2019

Progress in Particle and Nuclear Physics

View full text Add to dashboard Cite

In this review we highlight a few physical properties of neutron stars and their theoretical treatment inasmuch as they can be useful for nuclear and particle physicists concerned with matter at finite density (and newly, temperature). Conversely, we lay out some of the hadron physics necessary to test General Relativity with binary mergers including at least one neutron star, in view of the event GW170817: neutron stars and their mergers reach the highest matter densities known, offering access to the matter side of Einstein's equations. In addition to minimum introductory material for those interested in starting research in the field of neutron stars, we dedicate quite some effort to a discussion of the Equation of State of hadron matter in view of gravitational wave developments; we address phase transitions and how the new data may help; we show why transport is expected to be dominated by turbulence instead of diffusion through most if not all of the star, in view of the transport coefficients that have been calculated from microscopic hadron physics; and we relate many of the interesting physics topics in neutron stars to the radius and tidal deformability.

show abstract

Post-Tolman-Oppenheimer-Volkoff formalism for relativistic stars

Cited by 41 publications

References 65 publications

Neutron star structure in the minimal gravitational Standard-Model Extension and the implication to continuous gravitational waves

Neutron star structure in the minimal gravitational Standard-Model Extension and the implication to continuous gravitational waves

More than the sum of its parts: Combining parametrized tests of extreme gravity

Hadron matter in neutron stars in view of gravitational wave observations

Contact Info

Product

Resources

About