Gravity Rush, known in Japan as Gravity Daze, is a 2012 action-adventure video game developed and published by Sony Computer Entertainment for the PlayStation Vita. Gravity Rush Remastered, a high definition remaster developed by Bluepoint Games for the PlayStation 4, was released in 2015 in Japan and 2016 in the West. In Gravity Rush, players control Kat, an amnesiac with the power to manipulate how gravity affects her, and uses her powers to help the people of Hekseville against the mysterious Nevi, helping its people against threats and uncovering the mystery behind her past. Gameplay has Kat exploring the open world of Hekseville, completing missions for townsfolk and defeating Nevi. Navigation and combat heavily involve Kat's gravity-altering abilities.

Beginning development for PlayStation 3 in 2008 under the title Gravité before moving to the Vita, Gravity Rush was conceived by director Keiichiro Toyama prior to his work on Silent Hill and the Siren series. The team overcame technical challenges due to the gameplay and chosen hardware. The world, story and artistic style drew from Japanese and Western comics including the work of French artist Jean Giraud. The music was composed by Kohei Tanaka, who worked on the project from an early stage.

Upon release, Gravity Rush received generally positive reviews from critics, who praised the art style and Kat's portrayal, but aspects of gameplay and control issues were criticized. The game had sold 200,000 units by August 2012. A sequel, Gravity Rush 2, was released for the PlayStation 4 in 2017.

Gravity Rush is an action-adventure video game in which players take the role of Kat, a young woman who can manipulate how gravity affects her, allowing her to walk on walls and fly through the air. Kat navigates the game's open world of Hekseville both on foot using roads and walkways, and using her powers; activating Kat's abilities, the player tilts the PlayStation Vita, aiming Kat and allowing her to "fall" in that direction. Kat can use her abilities to walk on vertical surfaces or areas such as ceilings and the underside of structures. Kat's gravity-based abilities are tied to an energy meter which decreases when her powers are active. When fully depleted, Kat's powers deactivate until the meter recharges.

Combat takes place either on the ground or with Kat using her powers against enemies. When on the ground, Kat attacks by kicking enemies in their weak spots. When using her powers, Kat can rotate and aim at those weak spots. Increasing Kat's distance before using her powers increases the amount of damage. Some abilities used in combat, such as the ability to locate and lock onto weak points, are tied to a cooldown timer which must replenish before being used again.

During navigation, Kat can find three types of pick-ups; blue cubes which restore her energy and allow prolonged use of her gravity powers; green crystals which restore health; and pink crystals which act as the game's currency. These gems are rewarded by completing quests given by non-player characters (NPCs), and can be used to buy and upgrade new abilities for Kat, or attributes such as health and energy. Quests include escorting NPCs, fighting packs of enemies, and making deliveries. During these and other types of quest, Kat can use a particular ability to pick up objects and carry them with her as she navigates Hekseville. Some areas require Kat to navigate platforming sections, which grant access to new abilities tied to the story.

Gravity Rush opens with an amnesiac Kat waking up in Hekseville, a floating city around a structure called the World Pillar. Kat is accompanied by a mysterious cat named Dusty; in saving a boy from being swept up in a gravity storm, she discovers that Dusty has the ability to manipulate how gravity affects her, enabling her to help people fight monsters spawned from the storms called Nevi. After saving Syd, a police officer who becomes her friend, she learns that those with her powers are dubbed "Shifters" by Hekseville's people. As she begins helping the city's denizens, she is confronted by fellow Shifter Raven, who sees her as an enemy. Kat becomes involved in operations to catch Alias, a criminal linked to the Nevi — she eventually defeats him, sending him into a garbage crusher where he is killed. Alongside this, Kat helps restore sections of Hekseville swallowed by spatial rifts with the aid of Gade, a man who claims to be a "Creator". Kat restores all of Hekseville despite further interference from Raven, who apparently dies during a fight with Kat. Her exploits earn her the name "Gravity Queen". Following Alias' defeat and the return of the final missing part of Hekseville, Kat is offered a place in the city's military if she will follow orders of its commander, Yuri Gerneaux, but she refuses.

Kat then meets a woman who dropped the last letter she received from her deceased boyfriend over the edge of Hekseville. To find it, she travels inside the World Pillar, a gigantic column that supports Hekseville and stretches from the sky to below the clouds. On her way down, her Shifter powers fade, and she is confronted by Raven, but the two are attacked by Nushi, a giant Nevi. Kat wakes to find herself captive in Boutoume, a city beneath the Pillar, where a group of children are living under the protection of their leader Zaza. Kat and Raven help protect the children from Nushi, but they learn that the dark sea beneath Boutoume is slowly rising. One of the children, Cyanea, later confronts Kat — in a trance, while possessed by a being called a Dream Guardian, she reveals herself to be the Creator of the world through her dreams, and sends Kat into a dream where she learns that she is from a higher part of the World Pillar where she held a powerful position and suffered due to a great burden.