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Studies have shown that the use of pulsar timing arrays (PTAs) is among the approaches with the highest potential to detect very low-frequency gravitational waves in the near future. Although the capture of gravitational waves (GWs) by PTAs…

Instrumentation and Methods for Astrophysics · Physics 2020-10-13 MengNi Chen , Yuanhong Zhong , Yi Feng , Di Li , Jin Li

It is well-known that the first-order phase transition (PT) will yield a stochastic gravitational waves (GWs) background with a logo-like spectrum. However, we show that when such a PT happened during the primordial inflation, the GWs…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-24 Yu-Tong Wang , Yong Cai , Yun-Song Piao

The recent evidence for a stochastic gravitational wave background (GWB) in the nanohertz band, announced by pulsar timing array (PTA) collaborations around the world, has been posited to be sourced by either a population of supermassive…

General Relativity and Quantum Cosmology · Physics 2024-09-25 David Wright , John T. Giblin , Jeffrey Hazboun

The detection of a stochastic gravitational-wave signal from the superposition of many inspiraling supermassive black holes with pulsar timing arrays (PTAs) is likely to occur within the next decade. With this detection will come the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Laura Sampson , Neil J. Cornish , Sean T. McWilliams

In this Letter, we derive for the first time a characteristic three-peaked GW signal within the framework of no-scale Supergravity, being the low-energy limit of Superstring theory. We concentrate on the primordial gravitational wave (GW)…

Recent pulsar timing data reported by the NANOGrav collaboration may indicate the existence of a stochastic gravitational wave background around $f \sim 10^{-8}$ Hz. We explore a possibility to generate such low-frequency gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Yuichiro Nakai , Motoo Suzuki , Fuminobu Takahashi , Masaki Yamada

Temperature anisotropy of the cosmic microwave background offers a test of the fundamental symmetry of spacetime during cosmic inflation. Violation of rotational symmetry yields a distinct signature in the power spectrum of primordial…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-04 Jaiseung Kim , Eiichiro Komatsu

The recent astronomical milestone by the pulsar timing arrays (PTA) has revealed galactic-size gravitational waves (GW) in the form of a stochastic gravitational wave background (SGWB), correlating the radio pulses emitted by millisecond…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Reginald Christian Bernardo , Kin-Wang Ng

We discuss the theoretical framework behind reconstruction of a generic class of inflationary potentials for canonical single-field slow-roll inflation in a model-independent fashion. The Non-Bunch Davies (NBD) initial condition is an…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Sayantan Choudhury

Violation of parity symmetry in the gravitational sector, which manifests into unequal left and right circular polarization states of primordial gravitational waves, represents a way to test high-energy modifications to general relativity.…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-08 Nicola Bartolo , Luca Caloni , Giorgio Orlando , Angelo Ricciardone

The pulsar timing array (PTA) is a powerful technique for detecting nanohertz gravitational wave backgrounds (GWBs). However, conventional PTAs lack sensitivity to parity violation in the GWB. In this work, we propose a dipole pulsar timing…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Baoyu Xu , Hanyu Jiang , Rong-Gen Cai , Misao Sasaki , Yun-Long Zhang

The circular polarization of the stochastic gravitational wave background (SGWB) is a key observable for characterising the origin of the signal detected by Pulsar Timing Array (PTA) collaborations. Both the astrophysical and the…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-10 N. M. Jiménez Cruz , Ameek Malhotra , Gianmassimo Tasinato , Ivonne Zavala

Inflation and dark energy (DE), both featuring accelerated expansion, are crucial components of modern cosmology. As indicated by singularity theorems, null energy condition (NEC) violation is essential for resolving the initial singularity…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Gen Ye , Yong Cai

We develop a full-covariance formalism for pulsar timing array(PTA) -- astrometry verlap reduction function (ORF) estimators and use it to forecast graviton-mass constraints from a nanohertz stochastic gravitational-wave background (SGWB).…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Jing-Hong Han , Zhi-Chao Zhao

We make a comprehensive investigation of the observational effect of the inflation consistency relation. We focus on the general single-field inflation model with the consistency relation $r=-8c_s n_t$, and investigate the observational…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Cheng Cheng , Qing-Guo Huang , Xiao-Dong Li , Yin-Zhe Ma

We study constraints on a number of patch inflationary models in noncommutative spacetime using a compilation of recent high-precision observational data. In particular, the four-dimensional General Relativistic (GR) case, the…

Astrophysics · Physics 2007-05-23 Gianluca Calcagni , Shinji Tsujikawa

Standard inflationary models yield a characteristic signature of a primordial power spectrum with a red tensor and scalar tilt. Nevertheless, Cannone et al recently suggested that, by breaking the assumption of spatial diffeomorphism…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-20 Leila Graef , Robert Brandenberger

Pulsar timing arrays (PTAs) can be used to detect and study gravitational waves in the nanohertz band (i.e., wavelengths of order light-years). This requires high-precision, decades-long data sets from sensitive, instrumentally stable…

Instrumentation and Methods for Astrophysics · Physics 2018-10-17 NANOGrav Collaboration

We show that the recent detection of a gravitational wave (GW) background reported by various pulsar timing array (PTA) collaborations including NANOGrav-15yr, PPTA, EPTA, and CPTA can be explained in terms of first order phase transitions…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-31 Andrea Addazi , Yi-Fu Cai , Antonino Marciano , Luca Visinelli

Our work highlights the crucial role played by the equation of state (EoS) parameter $w$ within the context of single field inflation with Multiple Sharp Transitions (MSTs) to untangle the current state of the PBH overproduction issue. We…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-30 Sayantan Choudhury , Kritartha Dey , Ahaskar Karde