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Challenges and opportunities of gravitational-wave searches above 10 kHz - Living Reviews in Relativity The first direct measurement of gravitational waves by the LIGO and Virgo collaborations has opened up new avenues to explore our Universe. This White Paper outlines the challenges and gains expected ...

This article is an #Update of the Living Review from 2021:
Aggarwal, N., Aguiar, O.D., Blas, D. et al. Challenges and opportunities of gravitational-wave searches above 10 kHz. #LivingRevRelativ 28, 10 (2025). doi.org/10.1007/s411... #OpenAccess

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This is a self-contained summary of the current status rather than a traditional update of the previous 2004 Living Reviews article on the subject:
Abhay Ashtekar & Badri Krishnan. Quasi-local black hole horizons: recent advances. #LivingRevRelativ 28, 8 (2025). doi.org/10.1007/s411... #OpenAccess

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article title page screenshot

article title page screenshot

Better late than never... 😩 New in Living Reviews in Relativity:
LISA Consortium Waveform Working Group. Waveform modelling for the Laser Interferometer Space Antenna. #LivingRevRelativ 28, 9 (2025). doi.org/10.1007/s411...
#OpenAccess #WhitePaper @lisacommunity.bsky.social

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Screenshot: Topical collection “Machine Learning in Gravitational-Wave Science”

Screenshot: Topical collection “Machine Learning in Gravitational-Wave Science”

#CallforPapers
The journals #GenRelativGravit and #LivingRevRelativ have opened a collection “Machine Learning in Gravitational-Wave Science”, which aims to include review articles and original research: link.springer.com/collections/... #MachineLearning

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Fundamental constants: from measurement to the universe, a window on gravitation and cosmology - Living Reviews in Relativity Fundamental constants are a cornerstone of our physical laws. Any constant varying in space and/or time would signal a violation of local position invariance and be associated with a violation of the ...

Everything you always wanted to know about fundamental physical constants — New article #update in Living Reviews:

Jean-Philippe Uzan. Fundamental constants: from measurement to the universe, a window on gravitation and cosmology. #LivingRevRelativ 28, 6 (2025). doi.org/10.1007/s411... #OpenAccess

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Bala R. Iyer

Bala R. Iyer

Piotr T. Chruściel

Piotr T. Chruściel

#News: Piotr T. Chruściel has been appointed new Editor-in-Chief of Living Reviews in Relativity, taking over responsibilities from Bala R. Iyer who has led the journal for 9 years. — Thank you Bala, and welcome Piotr!
link.springer.com/journal/4111... #MeetTheEditors #LivingRevRelativ

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Critical Phenomena in Gravitational Collapse As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling...

"Critical Phenomena in Gravitational Collapse" — Major update submitted to #LivingRevRelativ. Feedback and suggestions very welcome: arxiv.org/abs/2507.07636

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Cosmology using numerical relativity - Living Reviews in Relativity This review is an up-to-date account of the use of numerical relativity to study dynamical, strong-gravity environments in a cosmological context. First, we provide a gentle introduction into the use ...

Josu C. Aurrekoetxea, Katy Clough, Eugene A. Lim. Cosmology using numerical relativity. #LivingRevRelativ 28, 5 (2025). doi.org/10.1007/s411... #OpenAccess #ReviewArticle

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Fundamental physics opportunities with future ground-based mm/sub-mm VLBI arrays - Living Reviews in Relativity The Event Horizon Telescope (EHT) Collaboration recently published the first images of the supermassive black holes in the cores of the Messier 87 and Milky Way galaxies. These observations have provi...

#WhitePaper Ayzenberg, D., Blackburn, L., Brito, R. et al. Fundamental physics opportunities with future ground-based mm/sub-mm VLBI arrays. #LivingRevRelativ 28, 4 (2025). doi.org/10.1007/s411... #OpenAccess #ngEHT #BlackHoles

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Abstract 
This review is focused on tests of Einstein’s theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein’s theory has been greatly constrained in the quasi-linear, quasi-stationary regime, where gravity is weak and velocities are small. Gravitational waves are allowing us to probe a complimentary, yet previously unexplored regime: the non-linear and dynamical extreme gravity regime. Such a regime is, for example, applicable to compact binaries coalescing, where characteristic velocities can reach fifty percent the speed of light and gravitational fields are large and dynamical. This review begins with the theoretical basis and the predicted gravitational-wave observables of modified gravity theories. The review continues with a brief description of the detectors, including both gravitational-wave interferometers and pulsar-timing arrays, leading to a discussion of the data analysis formalism that is applicable for such tests. The review then discusses gravitational-wave tests using compact binary systems, and ends with a description of the first gravitational wave observations by advanced LIGO, the stochastic gravitational wave background observations by pulsar timing arrays, and the tests that can be performed with them.

Abstract This review is focused on tests of Einstein’s theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein’s theory has been greatly constrained in the quasi-linear, quasi-stationary regime, where gravity is weak and velocities are small. Gravitational waves are allowing us to probe a complimentary, yet previously unexplored regime: the non-linear and dynamical extreme gravity regime. Such a regime is, for example, applicable to compact binaries coalescing, where characteristic velocities can reach fifty percent the speed of light and gravitational fields are large and dynamical. This review begins with the theoretical basis and the predicted gravitational-wave observables of modified gravity theories. The review continues with a brief description of the detectors, including both gravitational-wave interferometers and pulsar-timing arrays, leading to a discussion of the data analysis formalism that is applicable for such tests. The review then discusses gravitational-wave tests using compact binary systems, and ends with a description of the first gravitational wave observations by advanced LIGO, the stochastic gravitational wave background observations by pulsar timing arrays, and the tests that can be performed with them.

Major #Update of the 2013 Living Review:
Nicolás Yunes, Xavier Siemens, Kent Yagi. Gravitational-wave tests of general relativity with ground-based detectors and pulsar-timing arrays. #LivingRevRelativ 28, 3 (2025). doi.org/10.1007/s411... #OpenAccess

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Example of where machine learning fits in the workflow for GW detectors and data analysis. The gear in the picture indicates the parts of the data analysis chain where ML could be used.

Example of where machine learning fits in the workflow for GW detectors and data analysis. The gear in the picture indicates the parts of the data analysis chain where ML could be used.

Elena Cuoco, Marco Cavaglià, Ik Siong Heng, David Keitel, Christopher Messenger. Applications of machine learning in gravitational-wave research with current interferometric detectors. #LivingRevRelativ 28, 2 (2025) doi.org/10.1007/s411... #OpenAccess #Review #MachineLearning #GravitationalWaves

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Abstract: 

In the recent years, primordial black holes (PBHs) have emerged as one of the most interesting and hotly debated topics in cosmology. Among other possibilities, PBHs could explain both some of the signals from binary black hole mergers observed in gravitational-wave detectors and an important component of the dark matter in the Universe. Significant progress has been achieved both on the theory side and from the point of view of observations, including new models and more accurate calculations of PBH formation, evolution, clustering, merger rates, as well as new astrophysical and cosmological probes. In this work, we review, analyze and combine the latest developments in order to perform end-to-end calculations of the various gravitational-wave signatures of PBHs. Different ways to distinguish PBHs from stellar black holes are emphasized. Finally, we discuss their detectability with LISA, the first planned gravitational-wave observatory in space.

Abstract: In the recent years, primordial black holes (PBHs) have emerged as one of the most interesting and hotly debated topics in cosmology. Among other possibilities, PBHs could explain both some of the signals from binary black hole mergers observed in gravitational-wave detectors and an important component of the dark matter in the Universe. Significant progress has been achieved both on the theory side and from the point of view of observations, including new models and more accurate calculations of PBH formation, evolution, clustering, merger rates, as well as new astrophysical and cosmological probes. In this work, we review, analyze and combine the latest developments in order to perform end-to-end calculations of the various gravitational-wave signatures of PBHs. Different ways to distinguish PBHs from stellar black holes are emphasized. Finally, we discuss their detectability with LISA, the first planned gravitational-wave observatory in space.

New #OpenAccess article in Living Reviews:
Bagui, Clesse, De Luca, et al. Primordial black holes and their gravitational-wave signatures. #LivingRevRelativ 28, 1 (2025). doi.org/10.1007/s411...

#BlackHoles #PBH #Cosmology #GravitationalWaves #LISA @lisacommunity.bsky.social

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Bangalore Sathyaprakash

Bangalore Sathyaprakash

Living Reviews in Relativity welcomes B. S. Sathyaprakash! Expert from Penn State University and Cardiff University joins as new Associate Editor for Gravitational Waves:
link.springer.com/journal/4111... #LivingRevRelativ #MeetTheEditors

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Abstract: 

We review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is accessible to graduate students and researchers from adjacent fields, as well as to researches working on broader aspects of relativistic fluid dynamics interested in its mathematical formalism. Instead of complete proofs, which can be found in the published literature, here we focus on the proofs’ main ideas and key concepts. After an introduction to the relativistic Euler equations, we cover the following topics: a new wave-transport formulation of the relativistic Euler equations tailored to applications; the problem of shock formation for relativistic Euler; rough (i.e., low-regularity) solutions to the relativistic Euler equations; the relativistic Euler equations with a physical vacuum boundary; relativistic fluids with viscosity. We finish with a discussion of open problems and future directions of research.

Abstract: We review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is accessible to graduate students and researchers from adjacent fields, as well as to researches working on broader aspects of relativistic fluid dynamics interested in its mathematical formalism. Instead of complete proofs, which can be found in the published literature, here we focus on the proofs’ main ideas and key concepts. After an introduction to the relativistic Euler equations, we cover the following topics: a new wave-transport formulation of the relativistic Euler equations tailored to applications; the problem of shock formation for relativistic Euler; rough (i.e., low-regularity) solutions to the relativistic Euler equations; the relativistic Euler equations with a physical vacuum boundary; relativistic fluids with viscosity. We finish with a discussion of open problems and future directions of research.

New in Living Reviews:
Marcelo M. Disconzi. Recent developments in mathematical aspects of relativistic fluids. #LivingRevRelativ 27, 6 (2024). doi.org/10.1007/s411... #OpenAcess

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