DECIGO/BBO as a probe to constrain alternative theories of gravity

Kent Yagi; Takahiro Tanaka

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DECIGO/BBO as a probe to constrain alternative theories of gravity

Kent Yagi, Takahiro Tanaka

General Relativity and Quantum Cosmology · Submitted 23 Aug 2009

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The authors' main claim From these results, it is understood that DECIGO/BBO is a very powerful tool for constraining alternative theories of gravity, too.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We calculate how strongly one can constrain the alternative theories of gravity with deci-Hz gravitational wave interferometers such as DECIGO and BBO. Here we discuss Brans-Dicke theory and massive graviton theories as typical examples. We consider the inspiral of compact binaries composed of a neutron star (NS) and an intermediate mass black hole (IMBH) for Brans-Dicke (BD) theory and those composed of a super massive black hole (SMBH) and a black hole (SMBH) for massive graviton theories. Using the restricted 2PN waveforms including spin effects and taking the spin precession into account, we perform the Monte Carlo simulations of $10^4$ binaries to estimate the determination accuracy of binary parameters including the Brans-Dicke parameter $\omega_{\mathrm{BD}}$ and the graviton Compton length $\lambda_g$. Assuming a $(1.4, 10)M_{\odot}$ NS/BH binary of SNR=$\sqrt{200}$, the constraint on $\omega_{\mathrm{BD}}$ is obtained as $\omega_{\mathrm{BD}}>2.32\times 10^6$, which is 300 times stronger than the estimated constraint from LISA observation. Furthermore, we find that, due to the expected large merger rate of NS/BH binaries of $O(10^4)$ yr$^{-1}$, a statistical analysis yields $\omega_{\mathrm{BD}}>3.77\times10^8$, which is 4 orders of magnitude stronger than the current strongest bound obtained from the solar system experiment. For massive graviton theories, assuming a $(10^6, 10^5)M_{\odot}$ BH/BH binary at 3Gpc, one can put a constraint $\lambda_g>3.35\times10^{20}$cm, on average. This is three orders of magnitude stronger than the one obtained from the solar system experiment. From these results, it is understood that DECIGO/BBO is a very powerful tool for constraining alternative theories of gravity, too.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We calculate how strongly one can constrain the alternative theories of gravity with deci-Hz gravitational wave interferometers such as DECIGO and BBO.	contribution 0.99	0.84	0.07	asserted 0.44
s1	Here we discuss Brans-Dicke theory and massive graviton theories as typical examples.	contribution 0.70	0.43	0.02	asserted 0.62
s2	We consider the inspiral of compact binaries composed of a neutron star (NS) and an intermediate mass black hole (IMBH) for Brans-Dicke (BD) theory and those composed of a super massive black hole (SMBH) and a black hole (SMBH) for massive graviton theories.	method 0.59	0.58	0.02	asserted 0.92
s3	Using the restricted 2PN waveforms including spin effects and taking the spin precession into account, we perform the Monte Carlo simulations of $10^4$ binaries to estimate the determination accuracy of binary parameters including the Brans-Dicke parameter $\omega_{\mathrm{BD}}$ and the graviton Compton length $\lambda_g$.	method 1.00	0.96	0.03	asserted 0.98
s4	Assuming a $(1.4, 10)M_{\odot}$ NS/BH binary of SNR=$\sqrt{200}$, the constraint on $\omega_{\mathrm{BD}}$ is obtained as $\omega_{\mathrm{BD}}>2.32\times 10^6$, which is 300 times stronger than the estimated constraint from LISA observation.	result 1.00	0.93	0.13	asserted 1.00
s5	Furthermore, we find that, due to the expected large merger rate of NS/BH binaries of $O(10^4)$ yr$^{-1}$, a statistical analysis yields $\omega_{\mathrm{BD}}>3.77\times10^8$, which is 4 orders of magnitude stronger than the current strongest bound obtained from the solar system experiment.	result 1.00	0.94	0.15	asserted 1.00
s6	For massive graviton theories, assuming a $(10^6, 10^5)M_{\odot}$ BH/BH binary at 3Gpc, one can put a constraint $\lambda_g>3.35\times10^{20}$cm, on average.	result 1.00	0.90	0.07	asserted 0.60
s7	This is three orders of magnitude stronger than the one obtained from the solar system experiment.	result 0.56	0.73	0.07	asserted 1.00
s8	From these results, it is understood that DECIGO/BBO is a very powerful tool for constraining alternative theories of gravity, too.	interpretation 1.00	0.56	0.94	asserted 0.99

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

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Original abstract

We calculate how strongly one can constrain the alternative theories of gravity with deci-Hz gravitational wave interferometers such as DECIGO and BBO. Here we discuss Brans-Dicke theory and massive graviton theories as typical examples. We consider the inspiral of compact binaries composed of a neutron star (NS) and an intermediate mass black hole (IMBH) for Brans-Dicke (BD) theory and those composed of a super massive black hole (SMBH) and a black hole (SMBH) for massive graviton theories. Using the restricted 2PN waveforms including spin effects and taking the spin precession into account, we perform the Monte Carlo simulations of $10^4$ binaries to estimate the determination accuracy of binary parameters including the Brans-Dicke parameter $\omega_{\mathrm{BD}}$ and the graviton Compton length $\lambda_g$. Assuming a $(1.4, 10)M_{\odot}$ NS/BH binary of SNR=$\sqrt{200}$, the constraint on $\omega_{\mathrm{BD}}$ is obtained as $\omega_{\mathrm{BD}}>2.32\times 10^6$, which is 300 times stronger than the estimated constraint from LISA observation. Furthermore, we find that, due to the expected large merger rate of NS/BH binaries of $O(10^4)$ yr$^{-1}$, a statistical analysis yields $\omega_{\mathrm{BD}}>3.77\times10^8$, which is 4 orders of magnitude stronger than the current strongest bound obtained from the solar system experiment. For massive graviton theories, assuming a $(10^6, 10^5)M_{\odot}$ BH/BH binary at 3Gpc, one can put a constraint $\lambda_g>3.35\times10^{20}$cm, on average. This is three orders of magnitude stronger than the one obtained from the solar system experiment. From these results, it is understood that DECIGO/BBO is a very powerful tool for constraining alternative theories of gravity, too.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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The authors derive parameterized corrections to gravitational-wave amplitude and phase in six modified gravity theories and in varying-G theories, extending prior work that focused on phase corrections only.
Multiband Gravitational-Wave Astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO
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B-DECIGO alone could pin the mass ratio of a GW150914-like binary to better than 0.1 percent and its black-hole spins to better than 10 percent, with multiband follow-up sharpening neutron-star tidal measurements.
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How the literature uses it

27 arXiv papers cite this in 36 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 22 sentences without a confident label

Uses its method or tool 2 papers

We carry out a Monte Carlo simulation in which we consider $10^3$ BNSs at $z=1$ with the angle parameters randomly drawn from a uniformly distribution in $cosθ_s$, $ϕ_s$, $cosθ_L$ and $ϕ_L$ [ref] .

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(iii) Compute the combined population standard deviation $σ_N_A$, taking into account sources at varying redshifts as was done in Eq. (3) of Ref. [ref] : [equation] Here, we compute the populations' single-event uncertainties $σ_i^A(z)$ via the simple SNR scaling factor: [equation] where $ρ_i^A$ is the SNR of simulated event $i$ computed from Eq. [ref], and $ρ_GW170817^A$ and $σ_GW170817^A$ are the known SNRs and uncertainties of the GW170817 event from step (i).

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Uses its data or values 1 paper

By observing $10^7M_⊙$ - $10^6M_⊙$ BH binary at 3 Gpc with LISA, one can impose a limit $m_g < 4.0×10^-26 eV$ [ref] , while observing $10^6M_⊙$ - $10^5M_⊙$ BH binary at 3 Gpc with DECIGO gives a limit $m_g < 3.7×10^-25 eV$ [ref] .

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Fig. ([ref]) also shows for comparison the sensitivity curves for LISA, eLISA [ref] , BBO [ref] , DECIGO [ref] , ET [ref] and ALIGO [ref] .

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In this paper, we investigate the extent to which pulsar timing and ground-based gravitational-wave (GW) observations can constrain these phenomena (space-based GW experiments [ref] are beyond the scope of this paper).

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Some previous work has been done to categorize different bounds on the mass of the graviton in [ref] .

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Although we cannot directly compare these two results, it seems that our results are consistent with the ones obtained by Stavridis and Will [ref] .

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