Abstract null hypersurfaces and characteristic initial value problems in General Relativity

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Sánchez-Pérez, Gabriel
Formato:	Preprint
Publicado:	2026
Materias:	General Relativity and Quantum Cosmology
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Transverse expansion of the metric at null hypersurfaces I. Uniqueness and application to Killing horizons
por: Mars, Marc, et al.
Publicado: (2024)

Killing and homothetic initial data for general hypersurfaces
por: Mars, Marc, et al.
Publicado: (2025)

Transverse expansion of the metric at null hypersurfaces II. Existence results and application to Killing horizons
por: Mars, Marc, et al.
Publicado: (2025)

Spacetime singularities and caustic of outgoing null hypersurfaces
por: Joshi, Ashok B.
Publicado: (2024)

The constraint tensor for null hypersurfaces
por: Manzano, Miguel, et al.
Publicado: (2023)

Unimodular gravity as an initial value problem
por: Herrera, J. E., et al.
Publicado: (2024)

Transverse expansion of the metric at null infinity
por: Mars, Marc, et al.
Publicado: (2026)

On the local existence for the characteristic initial value problem for the Einstein-Dirac system
por: Zhao, Peng, et al.
Publicado: (2025)

Abstract null geometry, energy-momentum map and applications to the constraint tensor
por: Mars, Marc
Publicado: (2024)

Wellposedness of the initial boundary value problem for the conformal field equations
por: Stevens, Chris, et al.
Publicado: (2026)

The crease flow on null hypersurfaces
por: Cotsakis, Spiros
Publicado: (2023)

News tensor on null hypersurfaces
por: Fernández-Álvarez, Francisco
Publicado: (2024)

Local well-posedness of the initial value problem in Einstein-Cartan theory
por: Luz, Paulo, et al.
Publicado: (2025)

Reduction of topological invariants on null hypersurfaces
por: Long, Jiang, et al.
Publicado: (2025)

Formulating the complete initial boundary value problem in numerical relativity to model black hole echoes
por: Dailey, Conner, et al.
Publicado: (2024)

Dynamical gravastar simulated horizon from the Tolman-Oppenheimer-Volkoff equation initial value problem with relativistic matter
por: Adler, Stephen L., et al.
Publicado: (2023)

The initial value formulation of the $λ$-R model
por: Pires, Luis
Publicado: (2018)

Superdilations at Schwarzschild null infinity
por: Refuto, Marco
Publicado: (2026)

Bridging time across null horizons
por: Zenginoğlu, Anıl
Publicado: (2025)

Obtaining the multiple Debever null directions
por: Sáez, Juan Antonio, et al.
Publicado: (2021)

Rigidity results for free boundary hypersurfaces in initial data sets with boundary
por: de Almeida, Deivid, et al.
Publicado: (2025)

A note on gravity and fluid dynamic correspondence on a null hypersurface
por: Bhattacharya, Krishnakanta, et al.
Publicado: (2024)

Conformal symmetry wormholes and the null energy condition
por: Kuhfittig, Peter K. F.
Publicado: (2016)

Comparison of definitions of angular momentum at null infinity
por: Bagiński, Szymon, et al.
Publicado: (2025)

Future-null singularity due to gravitational collapse
por: Joshi, Ashok B., et al.
Publicado: (2023)

Controlled regularity at future null infinity from past asymptotic initial data: the wave equation
por: Marajh, Jordan, et al.
Publicado: (2025)

Colliding null matter with a specific stress tensor
por: Halilsoy, Mustafa, et al.
Publicado: (2024)

The radial metric function does not identify null surfaces
por: Hsu, Yi-Hsiung, et al.
Publicado: (2025)

Causal dynamics of null horizons under linear perturbations
por: Dunsby, Peter K. S., et al.
Publicado: (2024)

New insights on null and timelike warped symmetric spacetime splittings
por: Maciel, Alan, et al.
Publicado: (2024)

A Riemannian geometric approach for timelike and null spacetime geodesics
por: Argañaraz, Marcos A., et al.
Publicado: (2021)

Conformal compactification and affine-null metric formulation of the Einstein equations
por: Mädler, Thomas, et al.
Publicado: (2025)

Quadratic quasinormal modes at null infinity on a Schwarzschild spacetime
por: Bourg, Patrick, et al.
Publicado: (2025)

Timelike bounce hypersurfaces in charged null dust collapse
por: Bick, David
Publicado: (2026)

Entropic route to Brown-York tensor: A unified framework for null and timelike hypersurfaces
por: Bhattacharya, Krishnakanta, et al.
Publicado: (2026)

Examining the validity of the minimal varying speed of light model through cosmological observations: relaxing the null curvature constraint
por: Mukherjee, Purba, et al.
Publicado: (2023)

Real modes and null memory contributions in effective-one-body models
por: Albanesi, Simone
Publicado: (2024)

The conformal Einstein field equations and the local extension of future null infinity
por: Zhao, Peng, et al.
Publicado: (2021)

Principal equatorial null geodesic congruences in the Kerr metric, and their quantum propagators
por: Trujillo, Josué G. Mateos, et al.
Publicado: (2024)

A null test of the Hubble tension
por: Kouniatalis, Gerasimos, et al.
Publicado: (2026)

if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
language	"es"
VUFIND_SESSION	"a5738a277746488b1f7aefb35f6d1152"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790843643.5967 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "a5738a277746488b1f7aefb35f6d1152" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; language=es; VUFIND_SESSION=a5738a277746488b1f7aefb35f6d1152"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.216.147"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"54921"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2604_19668/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2604_19668/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790843643.5805
REQUEST_TIME	1790843643

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler